Read and download free pdf of CBSE Class 10 Mathematics Surface Area and Volume Assignment Set B. Get printable school Assignments for Class 10 Mathematics. Class 10 students should practise questions and answers given here for Chapter 13 Surface Areas And Volumes Mathematics in Class 10 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 10 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Assignment for Class 10 Mathematics Chapter 13 Surface Areas And Volumes

Class 10 Mathematics students should refer to the following printable assignment in Pdf for Chapter 13 Surface Areas And Volumes in Class 10. This test paper with questions and answers for Class 10 Mathematics will be very useful for exams and help you to score good marks

### Chapter 13 Surface Areas And Volumes Class 10 Mathematics Assignment

**LEVEL-I**

**Surface Area and Volume**.......

**1. A metallic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6 cm, then the height of the cone was**

(a) 10 cm

(b) 12 cm

(c) 18 cm

(d) 24 cm

**Answer : ****(C)**

**2. If four times the sum of the areas of two circular faces of a cylinder of height 8 cm is equal to twice the curved surface area, then diameter of the cylinder is**

(A) 4 cm

(B) 8 cm

(C) 2 cm

(D) 6 cm

**Answer : ****(B)**

**3. 12 spheres of the same size are made from melting a solid cylinder of diameter 16 cm and 2 cm height. The diameter of each sphere is**

(A) 3cm

(B) 2 cm

(C) 3 cm

(D) 4 cm

**Answer : ****(B)**

**4. The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is**

(A) 4/3*π*

(B) 10/3*π*

(C) 5*π*

(D) 20/3 *5*π*

**Answer : ****(A)**

**5. The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is**

(A) 3 cm

(B) 4 cm

(C) 6 cm

(D) 12 cm

**Answer : ****(D)**

**6. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is**

(A) 12*π* cm3

(B) 3 15*π* cm

(C) 3 16*π* cm

(D) 3 20*π* cm

**Answer : ****(C)**

**7. 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 3times the volume of the cone, then the height of the circular cylinder is**

(A) 2h

(B) 2h /3

(C) 3h/2

(D) 4h

**Answer : ****(B)**

**8. The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, then the height above the base at which the section has been made is**

(A) 10 cm

(B) 15 cm

(C) 20 cm

(D) 25 cm

**Answer : ****(C)**

**9. The number of solid spheres, each of diameter 6 cm that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is**

(A) 3

(B) 4

(C) 5

(D) 6

**Answer : ****(C)**

**10. The ratio between the volumes of two spheres is 8:27. What is the ratio between their surface areas?**

(A) 2:3

(B) 4:5

(C) 5:6

(D) 4:9

**Answer : ****(D)**

**11. The height of a conical tent is 14 m and its base area is 346.5 m2. How much canvas, 1.1 wide, will be required for it?**

(A) 490 m

(B) 525 m

(C) 665 m

(D) 860 m

**Answer : ****(B)**

**12. The ratio between the radius of the base and the height of the cylinder is 2:3, If its volume is 1617 cm ^{3}, the total surface area of the cylinder is**

(A) 308 cm^{2}

(B) 462 cm^{2}

(C) 540 cm^{2}

(D) 770 cm^{2}

**Answer : ****(D)**

**13. The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm is**

(A) 2:1

(B) 3:1

(C) 4:1

(D) 5:1

**Answer : ****(D)**

**14. In a shower, 5 cm of a rain falls. The volume of the water that falls on 2 hectares of ground, is**

(A) 100 m^{3}

(B) 10 m^{3}

(C) 1000 m^{3}

(D) 10000 m^{3}

**Answer : ****(C)**

**15. The sum of length, breadth and height of cuboid is 19 cm and its diagonal is 5 5cm . Its surface area is**

(A) 361 cm^{2}

(B) 125 cm^{2}

(C) 236 cm^{2 }

(D) 486 cm^{2}

**Answer : ****(C)**

**16. The volume of a wall which is 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m ^{3}. The breadth of the wall is**

(A) 30 cm

(B) 40 cm

(C) 22.5 cm

(D) 25 cm

**Answer : ****(B)**

**17. A mason constructs a wall of dimension (270 cm ×300 cm ×350 cm) with bricks, each of size (22.5 cm ×11.25 cm ×8.75 cm) and it is assumed that 1/8 space is covered by the cement. Number of bricks used to construct the wall is**

(A) 11000

(B) 11100

(C) 11200

(D) 11300

**Answer : ****(C)**

**18. The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 m ^{2}. The dimensions are**

(A) 2m, 4m, 6m

(B)1 m, 2 m, 3 m

(C) 4 m, 5 m, 6 m

(D) 6m, 8m, 10 m

**Answer : ****(A)**

**19. The curved surface area of one cone is twice that of the other cone. The slant height of the second is twice that of the first one, then ratio of their radii is**

(A) 4 : 1

(B) 3 : 1

(C) 2 : 1

(D) 5 : 1

**Answer : ****(A)**

**20. On increasing each of the radius of the base and the height of a cone by 20%, then its volume will be increased by**

(A) 20%

(B) 40%

(C) 60%

(D) 72.8%

**Answer : ****(D)**

**21. The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface area is**

(A) 9 : 16

(B) 16 : 9

(C) 3 : 4

(D) 4 : 3

**Answer : ****(B)**

**22. If the areas of three adjacent faces of a cuboid are x, y, z respectively, then the volume of cuboid is**

(A) xyz

(B) 2xyz

(C) xyz

(D) 3xyz

**Answer : ****(C)**

**23. The length of the longest pole that can be kept in a room (12m × 9m × 8m) is**

(A)29 m

(B) 21 m

(C)19 m

(D)17 m

**Answer : ****(D)**

**24. Volumes of two solid spheres are in the ratio 125 : 64. Determine their radii, if the sum of their radii is 45 cm.**

(A) 25cm, 20cm

(B)15cm, 30cm

(C)35cm, 10cm

(D)40cm, 5cm

**Answer : ****(A)**

**25. A semi-circular thin sheet of paper of diameter 28 cm is bent and an open conical cup is made.Find the capacity of the cone.**

(A)311.2 cm^{3}

(B) 622.36 cm^{3}

(C)30.51 cm^{3}

(D)152 m^{3}

**Answer : ****(B)**

**26. The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is**

(A) *π* : 8

(B) *π* : 6

(C) 8 : *π*

(D) 6 : *π*

**Answer : ****(D)**

**27. If a cone is cut into two parts by a horizontal plane passing trough the mid-points of its axis, the ratio of the volumes of the upper part and the cone is**

(A) 1 : 2

(B) 1 : 4

(C) 1 : 6

(D) 1 : 8

**Answer : ****(D)**

**28. A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. Then the height of the cone is**

(A) 3x cm

(B) x cm

(C) 4x cm

(D) 2x cm

**Answer : ****(C)**

**29. If the radii of the circular ends of frustum of a cone are 20 cm and 12 cm and its height is 6 cm, then the slant height of frustum (in cm) is**

(A) 10

(B) 8

(C) 12

(D) 15

**Answer : ****(A)**

**30. The volume of a sphere (in cu. cm) is numerically equal to its surface area (in sq. cm). The diameter of the sphere (in cm) is**

(A) 3

(B) 6

(C) 2

(D) 4

**Answer : ****(B)**

**31. The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is**

(A) 9.7 cm^{3}

(B) 77.6 cm^{3}

(C) 58.2 cm^{3}

(D) 19.4 cm^{3}

**Answer : ****(D)**

**Please click the link below to download CBSE Class 10 Mathematics Surface Area and Volume Assignment Set B**

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### CBSE Class 10 Mathematics Chapter 13 Surface Areas And Volumes Assignment

We hope you liked the above assignment for Chapter 13 Surface Areas And Volumes which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above Assignments for Class 10 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 10 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations.

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