1. If the radius of a right circular cone is kept constant and its height is increased by 10%, by what percentage will the volume increase?

(a) 10% (b) 11% (c) 12% (d) 14%

2. The radius of a right circular cylinder is decreased by 50% and the height is increased by 50%. What will be the percentage change in the volume of the cylinder?

3. If the length of a cuboid is increased by 10%, the width by 20%, and the height is decreased by 30%, what is the percentage change in its volume?

(a) 6.5 increased (b) 7.6 increased (c) 6.5decreased (d) 7.6 decreased

4. If the radius of a sphere is increased by 3%, by what percentage will its surface area increase?

(a) 6.09% (b) 7% (c) 5.06% (d) 9%

5. The curved surface area of a sphere decreases from \(16\pi\) square centimeters to \(4\pi\) square centimeters. By what percentage will the volume of the sphere decrease?

6. If the radius of a sphere is increased by 50%, by what percentage will its curved surface area increase?

7. If the radius of a right circular cone is decreased by 50% and its height is increased by 50%, what is the percentage change in the volume of the cone?

8. If each edge of a cube is decreased by 10%, what is the percentage decrease in its total volume?

(a) 36.2% (b) 27.1% (c) 30.5% (d) 20.6%

9. Here's the English translation: **"If the radius of a right circular cone is kept unchanged but its height is doubled, by what percentage will its volume increase?"** Let me know if you'd also like help solving it!

10. If the length of each edge of a cube is increased by 50%, by what percentage will its volume increase?

11. The radius of a right circular cone is reduced by 50% and its height is increased by 50%. By what percentage does the volume of the cone change?

12. If each edge of a cube decreases by 10%, by what percentage will the total surface area decrease?

(a) \(10\%\) (b) \(17\%\) (c) \(21\%\) (d) \(19\%\)

13. If the radius of a sphere is increased by 50%, write what percentage increase occurs in its curved surface area.

14. If the radius of a sphere is doubled, by what percentage does its curved surface area increase?

15. If the radius of a sphere is increased by 2 cm, its curved surface area increases by 352 square centimeters. What was the original radius of the sphere?

(a) 5 cm (b) 6 cm (c) 7 cm (d) 5.6 cm

16. If each edge of a cube is increased by 20%, by what percentage will the total surface area increase?

(a) 40% (b) 42% (c) 44% (d) 46%

17. The diameter of the cross-section of a wire is reduced by 50%. To keep the volume unchanged, by what percentage must the length of the wire be increased?

18. If each edge of a cube is increased by 10%, by what percentage does the total surface area increase?

(a) 30.2% (b) 39.6% (c) 33.1% (d) 38.3%

19. If the radius of a circle is 7 cm, then what will be the radian measure of the central angle subtended by an arc of length 5.5 cm?

20. In a business, three friends have their capital investment in the ratio 2:3:4. If in the following year they increase their capital by 10%, 15%, and 20%, respectively, in what ratio will the profit be distributed among them at the end of the second year?

(a) 44 : 69 : 96 (b) 69 : 44 : 96 (c) 96 : 69 : 44 (d) 45 : 96 : 63

21. If each edge of a cube increases by 10%, by what percentage will the total surface area increase?

(a) \(10\%\) (b) \(20\%\) (c) \(21\%\) (d) \(41\%\)

22. If the length of each edge of a cube is doubled, then by what percentage will the total surface area of the cube increase?

23. If the height of a right circular cone remains the same and its radius is doubled, the volume of the cone will increase by 300%.

24. Determine the percentage increase in the surface area of a sphere when its radius is increased by 25%.

25. If the height of a right circular cone remains unchanged and its radius is increased by 1 unit, the volume of the cone becomes four times its original volume. What is the length of the diameter of the cone?

26. A cylinder and a hemisphere have the same radius and the same volume. By how many percent is the height of the hemisphere greater than the height of the cylinder?

(a) 25% (b) 50% (c) 100% (d) 200%

27. If the numerical value of the volume and the surface area of a sphere are equal, what is the numerical value of the radius of the sphere?

(a) 3 (b) 5 (c) 7 (d) 4

28. The price of petrol decreased twice consecutively by 10%. The actual percentage decrease in price is

(a) 21% (b) 18% (c) 19% (d) 20%

29. If a hemisphere and a cone have equal base areas and equal heights, then what will be the ratio of their volumes?

(a) 1:3 (b) 2:3 (c) 3:2 (d) 3:1

30. If a right circular cone and a sphere have the same radius, and the numerical value of the cone's volume is equal to the numerical value of the sphere's curved surface area, then what is the height of the cone?

(a) 10 units (b) 11 units (c) 12 units (d) 13 units