SSC CAPFS and DP - right prism, right circular cone, right circular cylinder, sphere Online Test (MCQ Quiz)

1. What is the formula for the volume of a right circular cone?

A) V = πr²h B) V = (1/3)πr²h C) V = (4/3)πr³ D) V = 2πrh

2. A right prism has a base that is a regular hexagon with side length 4 cm. If the height of the prism is 10 cm, what is its volume?

A) 240√3 cm³ B) 120√3 cm³ C) 24√3 cm³ D) 480 cm³

3. What is the surface area of a sphere with radius 'r'?

A) 4πr² B) 2πr² C) (4/3)πr³ D) πr²

4. The radius of the base of a right circular cylinder is 7 cm and its height is 15 cm. What is its volume?

A) 735π cm³ B) 210π cm³ C) 105π cm³ D) 735 cm³

5. A right circular cone has a slant height of 13 cm and a base radius of 5 cm. What is its height?

A) 12 cm B) 8 cm C) 18 cm D) 10 cm

6. If the radius of a sphere is doubled, its volume will be multiplied by what factor?

A) 2 B) 4 C) 8 D) 16

7. What is the lateral surface area of a right circular cylinder with radius 'r' and height 'h'?

A) 2πrh B) πr²h C) 2πr(r+h) D) πr(r+h)

8. A right prism has a square base with side length 5 cm and a height of 8 cm. What is its total surface area?

A) 180 cm² B) 200 cm² C) 240 cm² D) 160 cm²

9. The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is its volume?

A) 100π cm³ B) 400π cm³ C) 120π cm³ D) 360π cm³

10. What is the radius of a sphere whose volume is 288π cm³?

A) 3 cm B) 6 cm C) 9 cm D) 12 cm

11. A right circular cylinder has a radius of 4 cm and a height of 10 cm. What is its lateral surface area?

A) 40π cm² B) 80π cm² C) 160π cm² D) 120π cm²

12. The base of a right prism is an equilateral triangle with side length 6 cm. If the height of the prism is 9 cm, what is its volume?

A) 81√3 cm³ B) 54√3 cm³ C) 27√3 cm³ D) 162 cm³

13. What is the formula for the volume of a sphere with radius 'r'?

A) 4πr² B) 2πr² C) (4/3)πr³ D) πr²h

14. A right circular cone has a base radius of 3 cm and a height of 4 cm. What is its slant height?

A) 5 cm B) 6 cm C) 7 cm D) 8 cm

15. The total surface area of a right circular cylinder is given by which formula?

A) 2πrh B) πr²h C) 2πr(r+h) D) πr(r+h)

16. A right prism has a rectangular base of 5 cm by 7 cm and a height of 12 cm. What is its volume?

A) 420 cm³ B) 140 cm³ C) 84 cm³ D) 210 cm³

17. What is the surface area of a sphere with a diameter of 10 cm?

A) 100π cm² B) 200π cm² C) 400π cm² D) 50π cm²

18. The radius of the base of a right circular cylinder is 5 cm and its height is 8 cm. What is its volume?

A) 40π cm³ B) 200π cm³ C) 160π cm³ D) 80π cm³

19. A right circular cone has a volume of 36π cm³ and a base radius of 3 cm. What is its height?

A) 4 cm B) 9 cm C) 12 cm D) 16 cm

20. If the radius of a sphere is decreased by half, its surface area will be multiplied by what factor?

A) 1/2 B) 1/4 C) 1/8 D) 1/16

21. What is the lateral surface area of a right circular cone with radius 'r' and slant height 'l'?

A) πrl B) 2πrl C) πr(r+l) D) 2πr(r+l)

22. A right prism has a triangular base with sides 3 cm, 4 cm, and 5 cm. If the height of the prism is 10 cm, what is its volume?

A) 60 cm³ B) 30 cm³ C) 15 cm³ D) 150 cm³

23. The radius of a sphere is 9 cm. What is its volume?

A) 972π cm³ B) 243π cm³ C) 729π cm³ D) 324π cm³

24. A right circular cylinder has a diameter of 12 cm and a height of 7 cm. What is its total surface area?

A) 252π cm² B) 132π cm² C) 360π cm² D) 144π cm²

25. What is the volume of a right circular cone with radius 6 cm and height 10 cm?

A) 60π cm³ B) 120π cm³ C) 180π cm³ D) 200π cm³

26. A right prism has a base that is a regular pentagon with side length 3 cm and a height of 7 cm. If the apothem of the pentagon is approximately 2.06 cm, what is its volume?

A) 21.63 cm³ B) 72.1 cm³ C) 10.3 cm³ D) 144.2 cm³

27. The surface area of a sphere is 144π cm². What is its radius?

A) 4 cm B) 6 cm C) 12 cm D) 36 cm

28. What is the formula for the total surface area of a right circular cone?

A) πrl B) 2πrl C) πr(r+l) D) 2πr(r+l)

29. A right circular cylinder has a radius of 3 cm and a height of 5 cm. What is its lateral surface area?

A) 15π cm² B) 30π cm² C) 45π cm² D) 60π cm²

30. A right prism has a square base of side 6 cm and a height of 10 cm. What is its lateral surface area?

A) 60 cm² B) 120 cm² C) 240 cm² D) 360 cm²

31. What is the volume of a sphere with radius 3 cm?

A) 9π cm³ B) 27π cm³ C) 36π cm³ D) 108π cm³

32. A right circular cone has a slant height of 10 cm and a base radius of 6 cm. What is its height?

A) 6 cm B) 8 cm C) 10 cm D) 12 cm

33. The base of a right prism is a rhombus with diagonals 8 cm and 6 cm. If the height of the prism is 10 cm, what is its volume?

A) 240 cm³ B) 120 cm³ C) 48 cm³ D) 24 cm³

34. What is the volume of a right circular cylinder with radius 10 cm and height 5 cm?

A) 50π cm³ B) 100π cm³ C) 250π cm³ D) 500π cm³

35. If the radius of a sphere is tripled, its volume will be multiplied by what factor?

A) 3 B) 6 C) 9 D) 27

36. What is the lateral surface area of a right prism whose base is a square of side 5 cm and height is 8 cm?

A) 40 cm² B) 80 cm² C) 160 cm² D) 200 cm²

37. A right circular cone has a base radius of 8 cm and a height of 15 cm. What is its slant height?

A) 15 cm B) 17 cm C) 20 cm D) 23 cm

38. What is the surface area of a sphere with radius 7 cm?

A) 49π cm² B) 98π cm² C) 196π cm² D) 294π cm²

39. A right prism has a hexagonal base with side length 4 cm and a height of 6 cm. If the area of the hexagonal base is approximately 41.57 cm², what is its volume?

A) 249.42 cm³ B) 166.28 cm³ C) 83.14 cm³ D) 24.94 cm³

40. The volume of a right circular cylinder is 540π cm³ and its height is 15 cm. What is its radius?

A) 3 cm B) 6 cm C) 9 cm D) 18 cm

41. What is the volume of a right circular cone with slant height 13 cm and base radius 5 cm?

A) 100π cm³ B) 120π cm³ C) 150π cm³ D) 180π cm³

42. If the diameter of a sphere is 12 cm, what is its volume?

A) 72π cm³ B) 144π cm³ C) 288π cm³ D) 432π cm³

43. What is the total surface area of a right circular cone with radius 3 cm and slant height 5 cm?

A) 15π cm² B) 24π cm² C) 30π cm² D) 45π cm²

44. A right prism has a rectangular base of 4 cm by 6 cm and a height of 10 cm. What is its total surface area?

A) 120 cm² B) 168 cm² C) 208 cm² D) 248 cm²

45. The lateral surface area of a right circular cylinder is 110 cm² and its radius is 5 cm. What is its height?

A) 3.5 cm B) 7 cm C) 11 cm D) 22 cm

46. What is the ratio of the volume of a sphere to the volume of a right circular cylinder that circumscribes it (same radius and height equal to diameter)?

A) 1:1 B) 2:3 C) 3:2 D) 1:2

47. A right circular cone has a base area of 36π cm². If its height is 10 cm, what is its volume?

A) 120π cm³ B) 180π cm³ C) 360π cm³ D) 1080π cm³

48. The volume of a sphere is 36π cm³. What is its surface area?

A) 12π cm² B) 36π cm² C) 108π cm² D) 144π cm²

49. A right prism has a base that is an isosceles triangle with sides 5 cm, 5 cm, and 6 cm. If the height of the prism is 10 cm, what is its volume?

A) 150 cm³ B) 120 cm³ C) 60 cm³ D) 30 cm³

50. What is the volume of a right circular cylinder with radius 8 cm and height 3 cm?

A) 24π cm³ B) 48π cm³ C) 192π cm³ D) 768π cm³

right prism, right circular cone, right circular cylinder, sphere - Online Test

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