CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C

Read and download free pdf of CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 13 Surface Area and Volume Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet Pdf

 

SURFACE AREAS AND VOLUMES
 
SECTION A: 
 
1. A cone and a cylinder are of same height. If the radii of their bases are in the ratio 3 : 5, then find the ratio of their volumes .
 
2. Find the base area of the cylinder of radius 7 cm.
 
3. If the radius of a sphere is 2 cm, then find the curved surface area of the sphere.
 
4. The surface area of the sphere is 2464 sq.cm. Find its radius.
 
5. How many litres of water will a hemispherical tank hold whose diameter is 4.2 m?
 
6. Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.
 
7. The surface area of the sphere is 2464 sq.cm. Find its radius.
 
8. The diameter of the base of a right circular cylinder is r and its height is equal to the radius of its base. Find the volume of the cylinder.
 
9. If the circumference of the base of a solid right circular cone is 236 cm and its slant height is 12ncm, find its curved surface area.
 
10. A sphere and a cube are of same height, find the ratio of their volumes if π = 22/7
 
SECTION B: 
 
11. A hemispherical bowl of radius 7 cm is full with water. The water from the bowl is to be emptied into a cylindrical vessel of radius 3.5 cm. Calculate the height of cylindrical vessel.
 
12. A solid metallic sphere of radius 21 cm is melted and recasted to a no. of cones with radius 7 cm and height 28 cm. Find the no. of cones so formed.
 
13. A hemispherical iron of radius 14 cm is cast into a right circular cone of radius 98 cm. Find the height of cone.
 
14. The C.S.A of hemisphere is 154 cm2. Find its volume.
 
15. The volume of the sphere is numerically equal to its surface area. Find its diameter.
 
16. The radius and the height of the cylinder are in the ratio 2:7. If the curved surface area of the cylinder is 352 sq.cm, find it radius.
 
17. The radius of a wooden hemisphere is 10 cm. What is the its volume?
 
18. The perimeters of the ends of a frustum of a cone are 88 cm and 8.4 π cm. If the depth is 14 cm, then find its volume.
 
19. A solid cuboid of iron with dimensions 45 cm × 11 cm is melted and recast into a cylinder pipe. The outer & inner diameters are 10 cm and 8 cm respectively. Find the length of pipe.
 
20. 120 spherical marbles each of diameter 2.1 cm are dropped into a cylindrical vessel of diameter 7 cm containing some water which are completes immersed in water. What is the rise in level of water in vessel?
 
SECTION C: 
 
21. A tent is in the form of a cylinder surmounted by a conical top. If the height and radius of cylindrical part are 2.8 m and 2 m and slant height of the top is 3.2 m, find the area of canvas used for the tent.
 
22. A sphere of radius 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of vessel is 20 cm. If the sphere is completely submerged, find the rise of level of water.
 
23. 168 cones each of diameter 7 cm and height 6 cm are melted to form a metallic hemisphere. Find the radius of hemisphere and the total surface area.
 
24. A well of diameter 10 m is 21 m deep is dug out and the earth from it is evenly spreaded to form a platform 20 m by 16 m. Find the height of plat form.
 
25. A bucket is in the shape of a frustum of a cone & holds 18.304 litres of water. The radii of top & bottom are 24 cm and 20 cm respectively, find the height of the bucket.
 
26. Water flows through a cylindrical pipe, of internal diameter 4 cm into a cylindrical tank of base radius 30 cm at the rise of 0.5 m/s. Find the rise in level of water in the tank in 2 hours.
 
27. From a solid cylinder of height 8 cm and base diameter 10 cm, a conical cavity of same height and same base diameter is hollowed out. What is the total surface area of the remaining solid.
 
28. A spherical tank with diameter 4 m full of water is to be emptied by a pipe at the rate of 5 2/7 litre per second. How much time will it take to make the tank one third empty.
 
29. Volume of cylinder is 896 π with height 14 cm. Find the total surface area of cylinder.
 
30. A cylindrical container has diameter 12 cm and height 15 cm is full with ice cream. The ice cream is to be filled into cones of height 12 cm & diameter 6 cm with hemispherical top. Find the no. of cones which can be filled with ice cream.
 
SECTION D: 
 
31. The radii of the circular ends of a bucket of height 15 cm are 7 cm and R. If the volume of bucket is 5390 cm3 find R.
 
32. A copper rod of diameter 4 cm and length 8 cm is drawn into a wire of length 40 m of uniform thickness. Find the thickness of the wire.
 
33. A sector of circle of radius 15 cm has the angle 120°. It is rolled up so that two boundary radii are joined together to form a cone. Find the volume of cone.
 
34. Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm. Another student reshapes it in the form of a sphere. Find the radius of the sphere.
 
35. The radii of the internal and external surfaces of a metallic spherical shell are 7 cm and 5 cm. It is melted & recast into a right circular cylinder of height 8 2/3 cm. Find the diameter of the base of the cylinder.
 
36. A conical vessel of ratio 12 cm and height 16 cm completely filled with water. A sphere is lowered into the water & its size is such that it touches the sides, as shown in figure1. Find the fraction of water that overflows.
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C
 
37. A 10 m wide cloth is used to make a conical tent of base diameter 21 m & height 30 m. Find the cost of cloth used at the rate of Rs. 30 perimeter.
 
38. The circumference of the base and height of a right circular cylinder are 44 cm and 10 cm respectively. Find its volume, curved surface area and total surface area.
 
39. The height of circular cone is trisected by two planes running parallel to the base. Find the ratio of the volumes of the three cones thus formed.
 
40. Water flows through a cylindrical pipe of internal radius 3.5 cm at 5 m per sec. calculate the volume of water in litres discharged by the pipe in one minute.

 

 

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CBSE Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet

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