CBSE Class 10 Mathematics Surface Areas and Volumes MCQs

Refer to CBSE Class 10 Mathematics Surface Areas and Volumes MCQs provided below. CBSE Class 10 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 10 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 10 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 13 Surface Areas and Volumes are an important part of exams for Class 10 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 13 Surface Areas and Volumes

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 13 Surface Areas and Volumes in Class 10. These MCQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

Chapter 13 Surface Areas and Volumes MCQ Questions Class 10 Mathematics with Answers

MCQ

Question : A cylindrical pencil sharpened at one edge is the combination of
(a) two cylinders
(b) a hemisphere and a cylinder
(c) a cone and a cylinder
(d) frustum of a cone and a cylinder
Answer : C

Question : The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is
(a) 55 cm2
(b) 110 cm2
(c) 220 cm2
(d) 440 cm2
Answer : C

Question : The ratio of the total surface area of a solid hemisphere to the square of its radius is
a) 2๐œ‹ : 1
b) 3 ๐œ‹: 1
c) 4 ๐œ‹ : 1
d) 1: 4 ๐œ‹
Answer : B

Question : The radius of a sphere is r cm. The sphere is divided into two equal parts. The whole surface area of two parts will be:
a) 8๐œ‹๐‘Ÿ2
b) 6๐œ‹๐‘Ÿ2
c) 4๐œ‹๐‘Ÿ2
d) 3๐œ‹๐‘Ÿ2
Answer : B

Question : The surface area of the two spheres are in the ratio 1 : 2. The ratio of their volumes is :
a) โˆš2: 1
b) 1 : 2โˆš2
c) 1 : 8
d) 1 : 4
Answer : B

Question : The radius of a wire is decreased to one third. If the volume remains the same, the length will become
a) 3 times
b) 6 times
c) 9 times
d) 27 times
Answer : C

Question : Two cubes each of volume 8๐‘๐‘š3are joined end to end , then the surface area of the resulting cuboid is
a) 80cm2
b) 64cm2
c) 40cm2
d) 8๐‘cm2
Answer : C

Question : If the areas of three adjacent faces of a cuboid are X, Y and Z respectively, then the
volume of cuboid is :
a) XYZ
b) 2XYZ
c) โˆš๐‘‹๐‘Œ๐‘
d) โˆš2๐‘‹๐‘Œ๐‘
Answer : C

Question : The ratio of the volumes of two spheres is 8 : 27 . If r and R are the radii of spheres respectively then (R โ€“ r) : r is :
a) 1 : 2
b) 1 : 3
c) 2 : 3
d) 4 : 9
Answer : A

Question : The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3.
Ratio of their volumes is
a) 27 : 20
b) 20 : 27
c) 9: 4
d) 4 : 9
Answer : B

Question : If the radius of the base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of original cylinder is
a) 2 : 3
b) 3 : 4
c) 1 : 4
d) 4 : 1
Answer : C

Question : The circumference of the edge of a hemispherical bowl is 132 cm. When ๐œ‹ is taken as 22/7 the capacity of the bowl in ๐‘๐‘š3 is :
a) 2772
b) 924
c) 19404
d) 9702
Answer : C

Question : A shuttlecock used for playing badminton has the shape of the combination of
(a) a cylinder and a sphere
(b) a sphere and a cone
(c) a cylinder and a hemisphere
(d) frustum of a cone and a hemisphere
Answer : D

Question : The shape of an ice-cream cone is a combination of:
(a) Sphere + cylinder
(b) Sphere + cone
(c) Hemisphere + cylinder
(d) Hemisphere + cone
Answer : D

Question : The total surface area of a hemispherical solid having radius 7 cm is
(a) 462 cm2
(b) 294 cm2
(c) 588 cm2
(d) 154 cm2
Answer : A

Question : The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 16 cm
Answer : B

Question : A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is
(a) 2 : 1
(b) 3 : 1
(c) 2 : 3
(d) 3 : 2
Answer : B

Question : The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is
(a) โˆš26 cm
(b) 5 cm
(c) โˆš65 cm
(d) 25 cm
Answer : B

Question : If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is
(a) 3ฯ€rยฒ
(b) 4ฯ€rยฒ
(c) 5ฯ€rยฒ
(d) 6ฯ€
Answer : B

Question : A piece of paper is in the shape of a semiยฌcircular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is
(a) 5 cm
(b) 10 cm
(c) 15 cm
(d) 20 cm
Answer : B

Question : The surface area of a sphere is 616 cm2. Its radius is
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm
Answer : A

Question : The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are
(a) 9 : 25
(b) 5 : 3
(c) 9 : 5
(d) 3 : 25
Answer : A

Question : The volume of a sphere is 4851 cm3. Its diameter is
(a) 3.5 cm
(b) 7 cm
(c) 14 cm
(d) 21 cm
Answer : D

Question : A solid formed on revolving a right angled triangle about its height is
(a) cylinder
(b) sphere
(c) right circular cone
(d) two cones
Answer : C

Question : If a cone is cut parallel to the base of it by a plane in two parts, then the shape of the top of the cone will be a:
(a) Sphere
(b) Cube
(c) Cone itself
(d) Cylinder
Answer : C

Question : The radius of a circle is 7 cm. What is the perimeter of the semi circle?
a) 36 cm
b) 14 cm
c) 7p
d) 14p
Answer : A

Question : The radius of two circles are 13 cm and 6 cm respectively. What is the radius of the circle which has circumference equal to the sum of the circumference of two circles?
a) 19 p
b) 19 cm
c) 25 cm
d) 32 cm
Answer : B

Question : The circumference of two circles are in the ratio 4 : 5 what is the ratio of the areas of these circles.?
a) 4:5
b) 16:25
c) 64:125
d) 8:10
Answer : B

Question : The volume of a cuboid is 440 cm3. The area of its base is 66 cm2. What is its height?
a) 40/3 cm
b) 20/3 cm
c) 440 cm
d) 66 cm
Answer : B

Question : Volume of two cubes is in the ratio of 8 : 125. The ratio of their surface areas is
a) 8:125
b) 2:5
c) 4:25
d) 16:25
Answer : C

Question : If the perimeter of a sector is โ€˜lโ€™ and radius is โ€˜rโ€™ then the area of the sector is
a) l . r
b) l . r2
c) lr2/2
d) l2. r
Answer : C

Question : Three cubes each of side โ€˜aโ€™ are joined from end to end to form a cuboid. The volume of the new cuboids :
a) a2
b) 3a3
c) a3
d) 6a3
Answer : B

Question : A wire is in the form of a circle of radius 7 cm. It is bent into a square the area of the square is :
a) 11 cm2
b) 121 cm2
c) 154 cm2
d) 44 cm2
Answer : B

Question : If the radii of the circular ends of a conical bucket of height 45cm, are 28 cm and 7 cm, then the capacity of the bucket is :
(a) 48605 cm3
(b) 48510 cm3
(c) 48150 cm3
(d) 4715 cm3.
Answer : B

Question : A cuboidal metal of dimensions 44 cm ร— 30 cm ร— 15 cm was melted and cast into a cylinder of height 28 cm. Its radius is :
(a) 10 cm. 
(b) 12 cm. 
(c) 15 cm. 
(d) 20 cm.
Answer : C
 
Question : The surface areas of a sphere and a cube are equal and if their volumes are V1 and V2 respectively, then V1/V2 :
(a) 3:โˆš2 
(b) โˆš6 : โˆšฯ€
(c) 3 : 2 ฯ€ 
(d) None
Answer : B
 
Question : A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, the height of the circular cylinder is :
(a) 1/2 h. 
(b) 1/3 h. 
(c) 2/3 h. 
(d) 3/2 h.
Answer : C
 
Question : If a hemispherical depression is cutout from one face of a cubical wooden block, such that, the diameter 'd' of the hemisphere is equal to the edge of the cube, the surface area of the remaining solid is
(a) d2/2 (10 + ฯ€). 
(b) d2/4 (12 + ฯ€). 
(c) d2/2 (24 + ฯ€). 
(d) None of these
Answer : A
 
Question : A metal cube of an edge 12cm, is melted and recasted into three small cubes. If the edges of two small cubes is 6cm and 8cm respectively, then the edge of the third small cube is :
(a) 9 cm. 
(b) 10 cm. 
(c) 20 cm. 
(d) 25 cm.
Answer : B
 
Question : A piece of metal pipe is 66 cm long with inside diameter of the cross section is 4 cm. If the outer diameter is 5.5 cm and the metal weighs 7 gm/cu cm, the weight of pipe is :
(a) 5.754 kg. 
(b) 5.187 kg. 
(c) 5.172 kg. 
(d) 4.154 kg.
Answer : C
 
Question : A cylinder has been cut out from a cube as shown below. The volume of the remaining figure is :
(a) 255 cm3
(b) 145 cm3
(c) 135 cm3
(d) 125 cm3.
CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set A
Answer : A
 
Question : A conical flask has base of radius โ€˜aโ€™ cm and height of โ€˜hโ€™ cm. It is completely filled with milk. The milk is poured into a cylindrical thermos flask, whose base is of radius p cm. The height of the solution level in the flask is :
(a) h/3p2
(b) ha2 /3p2
(c) ha2 /3p
(d) ha /3p2
Answer : B
 
Question : A conical cavity is drilled in a circular cylinder of height 15 cm and base of radius 8 cm. The height and the base radius of the cone are also the same. Then, the whole surface of the remaining solid (in cm3) is :
(a) 240ฯ€. 
(b) 440ฯ€. 
(c) 640ฯ€. 
(d) 960ฯ€. 
Answer : B
 

CASE STUDY 1. One day Rinku was going home from school, saw a carpenter working on wood. He found that he is carving out a cone of same height and same diameter from a cylinder. The height of the cylinder is 24 ern and base radius is 7 cm. While watching this, some questions came into Rinkus mind. Help Rinku to find the answer of the following questions.

""CBSE-Class-10-Mathematics-Surface-Areas-And-Volume-4

(i) After carving out cone from the cylinder,
(a) Volume of the cylindrical wood will decrease.
(b) Height of the cylindrical wood will increase.
(c) Volume of cylindrical wood will increase.
(d) Radius of the cylindrical wood will decrease.
Answer : A

(ii) Find the slant height of the conical cavity so formed.
Answer : - 25cm

(iii) The curved surface area of the conical cavity so formed is -----------------------
Answer : 175 ๐œ‹ cm2

(iv) External curved surface area of the cylinder is_____.
Answer : 336 ๐œ‹ cm2

(v) Volume of conical cavity is ------------------------
Answer : 392cm3

 

Case study question- 2
During Covid times people prefer using homogenized milk, UHT Processed and aseptically packed in an exceptional six layer, tamper-proof Tetra Packaging with 0% bacteria and 100% pure health. This new six layer interfere proof, prevents air and freshness, light and bacteria from entering the pack. As an effect, the milk stays fresh and pure for a minimum of 180 days until opened, even without refrigeration.The 500ml milk is packed in cuboidal containers of dimensions 15 x 8 x 5 . These milk packets are then packed in cuboidal cartons of dimension 30x 32 x 15.(All dimensions are in cm)

""CBSE-Class-10-Mathematics-Surface-Areas-and-Volumes

Based on the above given information answer the following questions

Question : Find the total surface area of a milk box.
a) 1890 cm2
b) 400 cm2
c) 470 cm2
d) 600 cm2
Answer : B

Question : How many milk packets can be filled in a carton?
a) 12
b) 24
c) 20
d) 8
Answer : C

Question : How much milk will the cup contain?
a) 1200 L
b) 1 L 100ml
c) 11 L 10 ml
d) 100 L
Answer : C

Question : How much cardboard is needed to make the carton if 10% of wastage is taken into account.
a) 3310 cm2
b) 2100 cm2
c) 4200 cm2
d) 3969 cm2
Answer : A

 

 

Question : A jokerโ€™s cap is in the form of cone of base radius 7 cm and height 24 cm. The area of sheet to make 10 such caps is
(a) 5500 cm2
(b) 6500 cm2
(c) 8500 cm2
(d) 3500 cm2

Question : A solid right cylinder cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is
(a) 1 : 2
(b) 1 : 4
(c) 1 : 6
(d) 1 : 8

Question : The total surface area of a hemisphere of radius โ€˜rโ€™ is
(a) 2ฯ€r2
(b) 4ฯ€r2
(c) 3ฯ€r2
(d) 5ฯ€r2

Question : The curved surface area of a sphere of radius 7 cm is:
(a) 516 cm2
(b) 616 cm2
(c) 716 cm2
(d) 880 cm2

Question : The curved surface area of a hemisphere of radius 21 cm is:
(a) 2772 cm2
(b) 2564 cm2
(c) 3772 cm2 
(d) 4772 cm2

Question : The curved surface area of a sphere of radius 14 cm is:
(a) 2464 cm2
(b) 2428 cm2
(c) 2464 cm2
(d) none of these.

Question : The curved surface area of a sphere of diameter 14 cm is:
(a) 516 cm2
(b) 616 cm2
(c) 716 cm2
(d) 880 cm2

Question : Total surface area of hemisphere of radius 10 cm is
(a) 942 cm2
(b) 940 cm2
(c) 842 cm2
(d) 840 cm2

Question : The radius of a spherical balloon increases from 7 cm to 14 cm s air is being pumped into it. The ratio of surface area of the balloon in the two cases is:
(a) 4 : 1
(b) 1 : 4
(c) 3 : 1
(d) 1 : 3

Question : A matchbox measures 4 cm x 2.5 cm x 1.5 cm. The volume of packet containing 12 such boxes is:
(a) 160 cm3
(b) 180 cm3
(c) 160 cm2
(d) 180 cm2

Question : A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litre of water can it hold?
(a) 1350 liters
(b) 13500 liters
(c) 135000 liters
(d) 135 liters

Question : A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
(a) 4.75 m
(b) 7.85 m
(c) 4.75 cm
(d) none of these

Question : The capacity of a cuboidal tank is 50000 litres. The length and depth are respectively 2.5 m and 10 m. Its breadth is
(a) 4 m
(b) 3 m
(c) 2 m
(d) 5 m

Question : A godown measures 40 m ร— 25 m ร— 10 m. Find the maximum number of wooden crates each measuring 1.5 m ร— 1.25 m ร— 0.5 m that can be stored in the godown.
(a) 18000
(b) 16000
(c) 15000 (
d) 14000

Question : The surface area of a cuboid is
(a) 2(lb + bh + lh)
(b) 3(lb + bh + lh)
(c) 2(lb โ€“ bh โ€“ lh)
(d) 3(lb โ€“ bh โ€“ lh)

Question : The surface area of a cube if edge โ€˜aโ€™ is
(a) 7a2
(b) 6a2
(c) 5a3
(d) 5a2

Question : The length, breadth and height of a room is 5m, 4m and 3m. The cost of white washing its four walls at the rate of Rs. 7.50 per m2 is
(a) Rs. 110
(b) Rs. 109
(c) Rs. 220
(d) Rs. 105

Question : The perimeter of floor of rectangular hall is 250m. The cost of the white washing its four walls is Rs. 15000. The height of the room is
(a) 5m
(b) 4m
(c) 6m
(d) 8m

Question : The breadth of a room is twice its height and is half of its length. The volume of room is 512dm3.Its dimensions are
(a) 16 dm, 8 dm, 4 dm
(b) 12 dm, 8 dm, 2 dm
(c) 8 dm, 4 dm, 2 dm
(d) 10 dm, 15 dm, 20 dm

Question : The area of three adjacent faces of a cube is x, y and z. Its volume V is
(a) V = xyz
(b) V3 = xyz
(c) V2 = xyz
(d) none of these

Question : Two cubes each of edge 12 cm are joined. The surface area of new cuboid is
(a) 140 cm2
(b) 1440 cm2
(c) 144 cm2
(d) 72 cm2

Question : The curved surface area of cylinder of height โ€˜hโ€™ and base radius โ€˜rโ€™ is
(a) 2โˆrh
(b) โˆrh
(c) 12โˆrh
(d) none of these

Question : The total surface area of cylinder of base radius โ€˜rโ€™ and height โ€˜hโ€™ is
(a) 2ฯ€(r + h)
(b) 2ฯ€r(r + h)
(c) 3ฯ€r(r + h)
(d) 4ฯ€r(r + h)

Question : The curved surface area of a cylinder of height 14 cm is 88 cm2. The diameter of its circular base is
(a) 5cm
(b) 4cm
(c) 3cm
(d) 2cm

Question : It is required to make a closed cylindrical tank of height 1 m and base diameter 140cm from ametal sheet. How many square meters a sheet are required for the same?
(a) 6.45m2
(b) 6.48m2
(c) 7.48m2
(d) 5.48m2.

Question : A metal pipe is 77 cm long. Inner diameter of cross section is 4 cm and outer diameter is 4.4 cm. Its inner curved surface area is:
(a) 864 cm2
(b) 968 cm2
(c) 768 cm2
(d) none of these 

Question : The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. The area of the playground in m2 is:
(a) 1584
(b) 1284
(c) 1384
(d) 1184

Question : A cylindrical pillar is 50 cm in diameter and 3.5 m in height. The cost of painting its curved surface at the rate of Rs. 12.50 per m2 is:
(a) Rs. 68.75
(b) Rs. 58.75
(c) Rs. 48.75
(d) Rs. 38.75

Question : The inner diameter of circular well is 3.5m. It is 10m deep. Its inner curved surface area in m2 is:
(a) 120
(b) 110
(c) 130
(d) 140

Question : In a hot water heating system there is a cylindrical pipe of length 28 m and diameter 5 cm. The total radiating surface area in the system in m2 is:
(a) 6.6
(b) 5.5
(c) 4.4
(d) 3.4

Question : The curved surface area of a right circular cone of slant height 10 cm and base radius 7 cm is
(a) 120 cm2
(b) 220 cm2
(c) 240 cm2
(d) 140 cm2

Question : The height of a cone is 16 cm and base radius is 12 cm. Its slant height is
(a) 10 cm
(b) 15 cm
(c) 20 cm
(d) 8 cm

Question : The curved surface area of a right circular cone of height 16 cm and base radius 12 cm is
(a) 753.6 cm2
(b) 1205.76 cm2
(c) 863.8 cm2
(d) 907.6 cm2

Question : The curved surface area of a right circular cone of slant height 10 cm and base radius 10.5 cm is
(a) 185 cm2
(b) 160 cm2
(c) 165 cm2
(d) 195 cm2

Question : The slant height of a cone is 26 cm and base diameter is 20 cm. Its height is
(a) 24 cm
(b) 25 cm
(c) 23 cm
(d) 35 cm

Question : The curved surface area of a cone is 308 cm2 and its slant height is 14 cm. The radius of its base is
(a) 8 cm
(b) 7 cm
(c) 9 cm
(d) 12 cm

Question : A conical tent is 10 m high and the radius of its base is 24 m. The slant height of tent is
(a) 26 m
(b) 28 m
(c) 25 m
(d) 27 m

Question : The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. The cost of white washing its curved surface at the rate of Rs. 210 per 100 m2 is
(a) Rs. 1233
(b) Rs. 1155
(c) Rs. 1388
(d) Rs. 1432

Question : A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
(a) 4000 m3
(b) 40 m3
(c) 400 m3
(d) 40000 m3

Question : The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold?
(a) 33.75 litre
(b) 34.65 litre
(c) 35.75 litre
(d) 38.75 litre

Question : If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find radius of its base
(a) 5cm
(b) 4cm
(c) 3cm
(d) 6cm

Question : It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find radius of the base,
(a) 1.75 m
(b) 1.85 m
(c) 1.95 m
(d) 1.65 m

Question : The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.
(a) 5546 cm3
(b) 7546 cm3
(c) 5564 m3
(d) 8546 cm3

Question : Find the volume of the right circular cone with radius 6 cm, height 7 cm
(a) 254 cm3
(b) 264 cm3
(c) 274 cm2
(d) 284 cm3

Question : The radius and height of a conical vessel are 7 cm and 25 cm respectively. Its capacity in litres is
(a) 1.232 litre
(b) 1.5 litre
(c) 1.35 litre
(d) 1.6 litre

Question : The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base.
(a) 12 cm
(b) 10 cm
(c) 15 cm
(d) 18 cm

Question : If the volume of a right circular cone of height 9 cm is 48โˆ cm3, find the diameter of its base.
(a) 12 cm
(b) 10 cm
(c) 6 cm
(d) 8 cm

Question : A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?
(a) 38.5 kl
(b) 48.5 kl
(c) 39.5 kl
(d) 47.5 kl

Question : Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm
(a) 1.232 litre
(b) 1.5 litre
(c) 1.35 litre
(d) none of these

Question : The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
(a) 1/64
(b) 1/32
(c) 1/16
(d) 1/48

Question : The dimensions of a cuboid are 50 cm x 40 cm x 10 cm. Its volume in litres is:
(a) 10 litres
(b) 12 litres
(c) 20 litres
(d) 25 litres

Question : The volume of a cuboidal tank is 250 m3. If its base area is 50 m2 then depth of the tank is
(a) 5 m
(b) 200 m
(c) 300 m
(d) 12500 m

Question : The total surface area of a solid hemisphere of radius r is
(a) ฯ€r2 
(b) 2ฯ€r2 
(c) 3ฯ€r2 
(d) 4ฯ€r2

Question : The volume and the surface area of a sphere are numerically equal, then the radius of sphere is
(a) 0 units
(b) 1 units
(c) 2 units
(d) 3 units

Question : A cylinder, a cone and a hemisphere are of the same base and of the same height. The ratio of their volumes is
(a) 1 : 2 : 3
(b) 2 : 1 : 3
(c) 3 : 1 : 2
(d) 3 : 2 : 1

Question : Small spheres, each of radius 2cm, are made by melting a solid iron ball of radius 6cm, then the total number of small spheres is
(a) 9
(b) 6
(c) 27
(d) 81

Question : A solid sphere of radius r cm is melted and recast into the shape of a solid cone of height r. Then the radius of the base of cone is
(a) 2r
(b) r
(c) 4r
(d) 3r

Question : Three solid spheres of diameters 6cm, 8cm and 10cm are melted to form a single solid sphere. The diameter of the new sphere is
(a) 6 cm
(b) 4.5 cm
(c) 3 cm
(d) 12 cm

Question : The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is
(a) 50 cm
(b) 10โˆš7 cm
(c) 60.96 cm
(d) 4โˆš2 cm

Question : The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm. Its volume is
(a) 60060 cm3 
(b) 80080 cm3 
(c) 70040 cm3 
(d) 80160 cm3

Question : If the radii of the ends of a bucket are 5 cm and 15 cm and it is 24 cm high, then its surface area is
(a) 1815.3 cm2 
(b) 1711.3 cm2 
(c) 2025.3 cm2 
(d) 2360 cm2

Question : If the radii of the ends of a 42 cm high bucket are 16 cm and 11 cm, determine its capacity (take ฯ€ = 22/7)
(a) 24222 cm3 
(b) 24332 cm3 
(c) 24322 cm3 
(d) none of these

Question : The length, breadth and height of a cuboidal solid is 4 cm, 3 cm and 2 cm respectively. Its volume is
(a) (4 + 3 +2) cm3 
(b) 2(4 + 3 +2) cm3 
(c) (4 x 3 x 2) cm3 
(d) 2(4 + 3) x 2 cm3

Question : The volume of a cuboidal solid of length 8 m and breadth 5 m is 200 m3 . Find its height.
(a) 5 m
(b) 6 m
(c) 15 m
(d) 18 m

Question : The curved surface area of a sphere is 616 cm2 . Its radius is
(a) 7 cm
(b) 5 cm
(c) 6 cm
(d) 8 cm

CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set E

Question : The capacity of a cylindrical tank is 6160 cm3 . Its base diameter is 28 m. The depth of this tank is
(a) 5 m
(b) 10 m
(c) 15 m
(d) 8 m

Question : The volume of a cylinder of radius r and length h is:
(a) 2ฯ€rh
(b) 4 /3 ฯ€r 2 h
(c) ฯ€r 2 h
(d) 2ฯ€r 2 h

Question : Base radius of two cylinder are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
(a) 27 : 20
(b) 25 : 24
(c) 20 : 27
(d) 15 : 20

Question : If base radius and height of a cylinder are increased by 100% then its volume increased by:
(a) 30%
(b) 40%
(c) 42%
(d) 33.1%

Question : The diameter of a sphere is 14 m. The volume of this sphere is

CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set E-

Question :The volume of a sphere is 524 cm3 . The diameter of sphere is
(a) 5cm
(b) 4cm
(c) 3cm
(d) 7cm

Question : The total surface area of a cylinder is 40p cm 2 . If height is 5.5 cm then its base radius is
(a) 5cm
(b) 2.5cm
(c) 1.5cm
(d) 10cm

Question : The area of circular base of a right circular cone is 78.5 cm2 . If its height is 12 cm then its volume is
(a) 31.4 cm3 
(b) 3.14 cm3 
(c) 314 cm3 
(d) none of these

Question : The base radius of a cone is 11.3 cm and curved surface area is 355 cm2 . Its height is (Take ฯ€ = 355/113)
(a) 5 cm
(b) 10 cm
(c) 11 cm
(d) 9 cm

class_10_maths_mcq_6

CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set F

CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set F-

 

Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pairs of Linear Equations in Two Variables MCQs
Chapter 08 Introduction to Trigonometry
CBSE Class 10 Mathematics Introduction to Trigonometry MCQs
Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Application of Trigonometry MCQs
z More MCQs for Class 10 Mathematics
CBSE Class 10 Mathematics MCQs

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CBSE Class 10 Mathematics Chapter 13 Surface Areas and Volumes MCQs

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