Volume of A Cone

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The volume of a right circular cone of radius x cm and height 4x cm is ______ cm³ .

A

B

C

D

Question 1 of 20

2. The area of base of a conical vessel is 75.46 dm² and its volume is 226.38 dm³. The height of the conical vessel is

15 dm

6 dm

9 dm

12 dm

Question 2 of 20

3. The slant height of a cone is 25 cm. If the circumference of the base of the cone is 44 cm, then the volume of the cone is

3261 cm³

2341.5 cm³

1232 cm³

1052 cm³

Question 3 of 20

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

1: 16

1 : 4

16 : 1

1 : 64

Question 4 of 20

5. The circumference of the base of the joker's cap of height 15 cm is 44 cm. Its volume is

700 cm³

770 cm³

760 cm³

780 cm³

Question 5 of 20

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

3.5 cm

2 cm

3 cm

4 cm

Question 6 of 20

7. The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π=3.14)

35.48 cm³

30.68 cm³

36.58 cm³

37.68 cm³

Question 7 of 20

8. The height of a right circular cone of radius 3.5 cm and volume 77 cm³ is

9 cm

11 cm

4 cm

6 cm

Question 8 of 20

9. The height of a right circular cone of radius 5 cm and slant height 13 cm is

8 cm

14 cm

6 cm

12 cm

Question 9 of 20

10. The slant height of a cone is 25 cm. If the circumference of the base of the cone is 44 cm, then the volume of the cone is

3261 cm³

1232 cm³

2341.5 cm³

1052 cm³

Question 10 of 20

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

2:1:3

2:3:2

1:2:3

4:3:6

Question 11 of 20

12. A cone and a cylinder have their heights in the ratio 4: 5 and their diameters are in the ratio 3: 2. The ratio of their volumes will be

5 : 3

6 : 7

3 : 5

4 : 3

Question 12 of 20

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

516 cm³

616 cm³

666 cm³

606 cm³

Question 13 of 20

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

4 : 1

1 : 4

2 : 1

1 : 2

Question 14 of 20

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

21 cm

20 cm

25 cm

15 cm

Question 15 of 20

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

1 : 64

1 : 16

16 : 1

1 : 4

Question 16 of 20

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

25 cm

100 cm

75 cm

50 cm

Question 17 of 20

18. A cone and a cylinder have their heights in the ratio 4: 5 and their diameters are in the ratio 3: 2. The ratio of their volumes will be

5:3

6:7

3:5

4:3

Question 18 of 20

19. The radius of two similar right circular cones are 2 cm and 6 cm. The ratio of their volumes is

1 : 3

1 : 9

9 : 1

1 : 27

Question 19 of 20

20. The volume of a right circular cone of radius 30 cm and slant height 50 cm is

37080 cm³

37680 cm³

37560 cm³

37000 cm³

Question 20 of 20

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