Chapter 13 – Surface Areas and Volumes

1. If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is

2. The length of the longest rod that can fit in a cubical vessel of side 10 cm, is

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

4. If the diameter of the base of a cylindrical pillar is 4 m and its height is 21 m, then the cost of construction of the pillar at Rs. 1.50 per cubic metre is:

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

6. The curved surface area of a right circular cone whose slant height is 14 cm and base radius is 21 cm is​

7. The perimeter of one face of a cube is 40 cm. The volume of the cube (in \(cm^{3}\)) is :

8. The volume of the cylinder whose height is 14 cm and diameter of base 4 cm is:

9. A beam 9 m long, 40 cm wide and 20 cm deep is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is :

10. 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.​

11. The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:

12. The volume of a sphere is 38808 cu.cm. The curved surface area of the sphere (in \(cm^{2}\)) is :

13. The height of a right circular cone of radius 3.5 cm and volume 77 \(cm^{3}\) is​

14. The ratio of the radii of two spheres whose volumes are in the ratio 64 : 27 is

15. If the diameter of a cylinder is 28 cm and its height is 20 cm, then total surface area (in \(cm^{2}\)) is :

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

17. A rectangular sand box is 5 m wide and 2 m long. How many cubic metres of sand are needed to fill the box upto a depth of 10 cm ?

18. The cost of cementing the inner curved surface of a 14 m deep well of radius 2 m at the rate of ₹2 per m2 is

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

20. A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl is

21. A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of ₹7 per m2 is​

22. The curved surface area of a right circular cylinder of height 14 cm is 88 \(cm^{2}\). The diameter of the base is:

23. The formula to find surface area of a cuboid of length (l), breadth (b) and height (h) is:

24. The surface area of a cube whose edge equals to 3cm is:

25. The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:

26. The volume of hemisphere whose radius is r, is:

27. If the radius of a cylinder is 4cm and height is 10cm, then total surface area of cylinder is:

28. The curved surface area of a right circular cylinder of height 14 cm is 88 \(cm^{2}\). The diameter of the base is:

29. The Curved surface area of a right circular cylinder is 4.4 sq.cm. The radius of the base is 0.7 cm. The height of cylinder will be:

30. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. The curved surface area is: