Volume and Surface Area mcqs test 01

1. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The
volume of the cone so formed is:

2. The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area
346.5 sq. m is:

3. If the radius of the base and the height of a right circular cone are doubled, then its volume becomes ?

4. The radius of the base and height of a cone are 3 cm and 5 cm respectively whereas the radius of the
base and height of a cylinder are 2 cm and 4 cm respectively. The ratio of the volume of cone to that
of the cylinder is:

5. The radius and height of a right circular cone are in the ratio 3:4. If its volume is 96 T cm, what is its
slant height?

6. Volume of a right circular cone having base radius 70 cm and curved surface area 40040 cm is:

7. The curved surface of a right circular cone of height 15 cm and base diameter 16,cm is

8. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved
surface.

9. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The
volume of the cone so formed is:

10. A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the
base and the height are in the ratio 5: 12, then the ratio of the total surface area of the cylinder to that
of the cone is:

11. If the height of a right circular cone is increased by 200% and the radius of the base is reduced by
50%, then the volume of the cone:

12. A cylindrical tube opėn at both ends is made of metal. The internal diameter of the tube is 11.2 cm
and its length is 21,cm. The metal everywhere is 0.4 cm thick. The volume of the metal is:

13. If a right circular cone of height 24 cm has a volume of 1232 Cm, then the area of its curved surface
is  ?

14. If both the radius and height of a right circular cone are increased by 20%, its volume will be increased
by:

15. A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of the
iron used is:

16. If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4: 5, then the
ratio of their heights is:

17. If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then the curved
surface area of the cone is?

18. The volume of the largest right circular come that can be cut out of a cube of edge 7 cm is:

19. A circular cylinder can hold 61.6 c.c. of water. If the height of the cylinder is 40 cm and the outer
diameter is 16 mm, then thickness of the material of the cylinder is

20. What length of solid cylinder 2 cm in diameter must be taken to cast into a hollow cylinder of external
diameter 12 cm, 0.25 cm thick and 15 cm long?

21. If the height of a cone be doubled and radius of base remains the same, then the ratio of the volume
of the given cone to that of the second cone will be:

22. The radius of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.

23. What is the total surface total surface area of a right circular cone of height 14 cm and base radius 7 ?

24. A hollow iron pipe is 21.cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm
and iron weighs 8 g/cm, then the weight of the pipe is:

25. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km?. The height of the
mountain is:

26. A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm x 72
cm. The percentage of wood wasted is:

27. Two cones have their heights in the ratio of 1: 3 and rad 3: 1. The ratio of their volumes is: