# SURFACE AREAS AND VOLUMES NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

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

1. 11 cm3
2. 21 cm3
3. 12 cm3
4. 22 cm3

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

1. 9 cm2
2. 13.50 cm2
3. 15.50 cm2
4. 9.50 cm2

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

1. increase by 8 times
2. increase by 4 times
3. decrease by 8 times
4. decrease by 4 times

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

1. 20 cm
2. 25 cm
3. 15 cm
4. 21 cm

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

1. 284 cm2
2. 394 cm2
3. 384 cm2
4. 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

1. 269.5 cm2
2. 808.5 cm2
3. 400 cm2
4. 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

1. 220 cm2
2. 222.2 cm2
3. 224.4 cm2
4. 230 cm2

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

1. 7 cm
2. 14 cm
3. 6 cm
4. 12 cm

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

1. 16.6 cm
2. 8.6 cm
3. 12.6 cm
4. 10.6 cm

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

1. 33 cm3
2. 23 cm3
3. 53 cm3
4. 36 cm3

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

1. 2 times
2. 3 times
3. 9 times
4. 4 times

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

1. 21 cm
2. 28 cm
3. 14 cm
4. 42 cm

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

1. 666 cm3
2. 516 cm3
3. 616 cm3
4. 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 ………

1. Right circular cone
2. Right circular cylinder
3. Hemisphere
4. Cube

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

1. 1 : 64
2. 1 : 4
3. 1: 16
4. 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.

1. Rs. 52100
2. Rs. 85246
3. Rs. 65000
4. 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.

1. 560 cm2
2. 1120 cm2
3. 2400 cm2
4. 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?

1. 4
2. 3
3. 5
4. 6

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

1. 80.73 cm3(app.)
2. 78.43 cm3(app.)
3. 89.83 cm3(app.)
4. 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

1. 8.74 m2
2. 9.76 m2
3. 6.24 m2
4. 9.24 m2

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

1. 15 cm
2. 18 cm
3. 20 cm
4. 25 cm

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

1. Volume
2. Area
3. Total Surface area
4. 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

1. 232 cm2
2. 308 cm2
3. 446 cm2
4. 924 cm2

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

1. 2156 cm3
2. 1285 cm3
3. 2275 cm3
4. 1375 cm3

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

1. 4 : 1
2. 4:3
3. 3: 2
4. 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

1. 16 : 1
2. 1 : 4
3. 1 : 64
4. 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. 1 cm
2. 2 cm
3. 4 cm
4. 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

1. 50 cm
2. 25 cm
3. 75 cm
4. 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. 1 : 4
2. 4 : 1
3. 1 : 2
4. 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

1. 9 : 4
2. 4 : 9
3. 2 : 3
4. 3 : 2

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

1. 2 cm
2. 4 cm
3. 6 cm
4. 8 cm

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

1. 20 cm
2. 22 cm
3. 24 cm
4. 21 cm

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

1. 3.5 cm
2. 3 cm
3. 2 cm
4. 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

1. 4:1
2. 1:4
3. 1:2
4. 2:1

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

1. 21 cm
2. 28 cm
3. 14 cm
4. 42 cm

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

1. 2425.5 cm3
2. 2025.5 cm3
3. 2435.5 cm3
4. 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.

1. 5600
2. 6400
3. 2700
4. 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

1. 3000 cm3
2. 3800 cm3
3. 3050 cm3
4. 3080 cm3

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

1. 65.4885 cm3
2. 64.55 cm3
3. 60.4640 cm3
4. 56.5624 cm3