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

- 11 cm
^{3} - 21 cm
^{3} - 12 cm
^{3} - 22 cm
^{3}

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

- 9 cm
^{2} - 13.50 cm
^{2} - 15.50 cm
^{2} - 9.50 cm
^{2}

**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 cm ^{3}. Its surface area would be**

- 284 cm
^{2} - 394 cm
^{2} - 384 cm
^{2} - 294 cm
^{2}

**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 cm
^{2} - 808.5 cm
^{2} - 400 cm
^{2} - 653.5 cm
^{2}

**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 cm
^{2} - 222.2 cm
^{2} - 224.4 cm
^{2} - 230 cm
^{2}

**Q8. The curved surface area of a right circular cone of base diameter 6 cm is 132 cm ^{2}. Its slant height is**

- 7 cm
- 14 cm
- 6 cm
- 12 cm

**Q9. The diameter of a sphere whose volume is 1047.816 cm ^{3} 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 cm
^{3} - 23 cm
^{3} - 53 cm
^{3} - 36 cm
^{3}

**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 cm ^{2}. 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 cm
^{3} - 516 cm
^{3} - 616 cm
^{3} - 606 cm
^{3}

**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 m ^{2}. 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 cm
^{2} - 1120 cm
^{2} - 2400 cm
^{2} - 1200 cm
^{2}

**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 cm
^{3}(app.) - 78.43 cm
^{3}(app.) - 89.83 cm
^{3}(app.) - 76.33 cm
^{3}(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 m
^{2} - 9.76 m
^{2} - 6.24 m
^{2} - 9.24 m
^{2}

**Q21. If the lateral surface area of a cube is 1600 cm ^{2}, 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 cm
^{2} - 308 cm
^{2} - 446 cm
^{2} - 924 cm
^{2}

**Q24. If the curved surface area of a right circular cylinder of height 14 cm is 616 cm ^{2}. Its volume is**

- 2156 cm
^{3} - 1285 cm
^{3} - 2275 cm
^{3} - 1375 cm
^{3}

**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 cm ^{2}, 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 cm ^{3} is**

- 2 cm
- 4 cm
- 6 cm
- 8 cm

**Q33. The diameter of a sphere whose volume is 4851 cm ^{3} is**

- 20 cm
- 22 cm
- 24 cm
- 21 cm

**Q34. The radius of a right circular cone of height 6 cm and volume 77 cm ^{3 }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 cm ^{2}. 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 cm
^{3} - 2025.5 cm
^{3} - 2435.5 cm
^{3} - 2225.5 cm
^{3}

**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 cm
^{3} - 3800 cm
^{3} - 3050 cm
^{3} - 3080 cm
^{3}

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

- 65.4885 cm
^{3} - 64.55 cm
^{3} - 60.4640 cm
^{3} - 56.5624 cm
^{3}