13

Q1. A drill with radius 1 cm cuts a hole through a casting 3.5 cm thick. The amount of metal removed is

11 cm³

21 cm³

12 cm³

22 cm³

Q2. The surface area of a cube of edge 1.5 cm is

9 cm²

13.50 cm²

15.50 cm²

9.50 cm²

Q3. If the edge of a cube is doubled, the volume of the new cube will

increase by 8 times

increase by 4 times

decrease by 8 times

decrease by 4 times

Q4. The slant height of a cone with radius 15 cm and height 20 cm is

20 cm

25 cm

15 cm

21 cm

Q5. The volume of a cube is 343 cm³. Its surface area would be

284 cm²

394 cm²

384 cm²

294 cm²

Q6. The base diameter and slant height of a right circular cone is 21 cm and 14 cm respectively. Its total surface area is

269.5 cm²

808.5 cm²

400 cm²

653.5 cm²

Q7. A right circular cylinder has a base with radius of 4.2 cm and an altitude of 8.5 cm. It’s lateral surface area (or curved surface area) is

220 cm²

222.2 cm²

224.4 cm²

230 cm²

Q8. The curved surface area of a right circular cone of base diameter 6 cm is 132 cm². Its slant height is

7 cm

14 cm

6 cm

12 cm

Q9. The diameter of a sphere whose volume is 1047.816 cm³ is

16.6 cm

8.6 cm

12.6 cm

10.6 cm

Q10. The volume of a right circular cone with height 3.5 cm and base radius 3 cm is

33 cm³

23 cm³

53 cm³

36 cm³

Q11. If the edge of a cube is doubled, the surface area will increase

2 times

3 times

9 times

4 times

Q12. The curved surface area of a sphere is 5544 cm². The radius of a hemisphere of this sphere is

21 cm

28 cm

14 cm

42 cm

Q13. The volume of a right circular cone of height 12 cm and radius 7 cm is

666 cm³

516 cm³

616 cm³

606 cm³

Q14. The solid generated by the rotation of a right triangle about one of its sides containing the right angle is called a ………

Right circular cone

Right circular cylinder

Hemisphere

Cube

Q15. The radius of a certain cone is 4 times the radius of a similar cone. The ratio of their altitudes is

1 : 64

1 : 4

1: 16

16 : 1

Q16. The area surrounded by a conical tent is 4526 m². If the cost of canvas is Rs. 17 per square meter, then find the total cost of canvas.

Rs. 52100

Rs. 85246

Rs. 65000

Rs. 76942

Q17. Length, breadth and height of a cuboid shape box of medicines is 20 cm, 12 cm and 10 cm respectively. Find the total surface area of this box.

560 cm²

1120 cm²

2400 cm²

1200 cm²

Q18. 3.08 liters of juice is poured into cylindrical glasses of base radius 7 cm and height 5 cm. How many glasses will be required?

4

3

5

6

Q19. If the circumference of the top of a hemispherical bowl is 22 cm. Its volume is

80.73 cm³(app.)

78.43 cm³(app.)

89.83 cm³(app.)

76.33 cm³(app.)

Q20. A water storage tank has a cylindrical shape. If it is 2.1 m high and has a diameter 1.4 m, its lateral surface area is

8.74 m²

9.76 m²

6.24 m²

9.24 m²

Q21. If the lateral surface area of a cube is 1600 cm², then its edge is:

15 cm

18 cm

20 cm

25 cm

Q22. A measure of the number of square units needed to cover the outside of a cube is called ………

Volume

Area

Total Surface area

Curved surface area

Q23. The curved surface area of a right circular cone whose slant height is 14 cm and base radius is 21 cm is

232 cm²

308 cm²

446 cm²

924 cm²

Q24. If the curved surface area of a right circular cylinder of height 14 cm is 616 cm². Its volume is

2156 cm³

1285 cm³

2275 cm³

1375 cm³

Q25. A sphere and a cone are of the same radius and same height. Find the ratio of their volumes.

4 : 1

4:3

3: 2

1:2

Q26. The radii of two similar right circular cylinders are 5 cm and 2.5 cm. What is the ratio of their altitudes?

2 : 1

1 : 3

1 : 8

1: 4

Q27. The volume of a certain cone is 64 times the volume of a similar cone. The ratio of their base areas is

16 : 1

1 : 4

1 : 64

1 : 16

Q28. The curved surface area of a right circular cylinder of height 7 cm is 44 cm², the diameter of the base of the cylinder is

1 cm

2 cm

4 cm

0.5 cm

Q29. A right circular cone has an altitude of 40 cm and a diameter of 60 cm. The slant height of the cone is

50 cm

25 cm

75 cm

100 cm

Q30. The volume of a certain cone is 8 times the volume of a similar cone. The ratio of their base areas is

1 : 4

4 : 1

1 : 2

2 : 1

Q31. The diameter of one sphere is 21 cm, and the diameter of another sphere is 14 cm, the ratios of their curved surface areas is

9 : 4

4 : 9

2 : 3

3 : 2

Q32. The radius of a cone of height 21 cm and volume 352 cm³ is

2 cm

4 cm

6 cm

8 cm

Q33. The diameter of a sphere whose volume is 4851 cm³ is

20 cm

22 cm

24 cm

21 cm

Q34. The radius of a right circular cone of height 6 cm and volume 77 cm³ is

3.5 cm

3 cm

2 cm

4 cm

Q35. If the radius of a sphere is halved, the ratio of the surface area of original sphere to that of the second is

4:1

1:4

1:2

2:1

Q36. The curved surface area of a sphere is 5544 cm². The radius of a hemisphere of this sphere is

21 cm

28 cm

14 cm

42 cm

Q37. The volume of a hemispherical bowl of radius 10.5 cm is

2425.5 cm³

2025.5 cm³

2435.5 cm³

2225.5 cm³

Q38. Find the number of bricks, each measuring 25 cm long, 12.5 cm high and 7.5 cm thick required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the cement and sand mixture occupies ignored.

5600

6400

2700

2800

Q39. A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will be

3000 cm³

3800 cm³

3050 cm³

3080 cm³

Q40. The volume of a hemispherical bowl of radius 3.15 cm is

65.4885 cm³

64.55 cm³

60.4640 cm³

56.5624 cm³