1. If the ratio of the volumes of two cubes is 8:27, then what will be the ratio of their total surface areas?

2. If the ratio of the volumes of two cubes is 1:27, then the ratio of their total surface areas will be —

(a) 1:3 (b) 1:8 (c) 1:9 (d) 1:18

3. If the ratio of the volumes of two cubes is 4:343, determine the ratio of their total surface areas.

4. If the ratio of the volumes of two cubes is 1:27, then the ratio of their total surface areas will be _____.

5. If the ratio of the volumes of two cubes is 1:27, then what is the ratio of their total surface areas?

(a) 1:3 (b) 1:8 (c) 1:9 (d) 1:18

6. If the ratio of the curved surface areas of two spheres is 1 : 4, find the ratio of their volumes.

7. If the ratio of the total surface areas of two solid spheres is 1:4, what is the ratio of their volumes?

8. If the ratio of the volumes of two solid spheres is 1:27, then what is the ratio of their curved surface areas?

(a) 1:9 (b) 1:4 (c) 1:3 (d) 1:2

9. If the volumes of two spheres are in the ratio 1:8, show that the ratio of their curved surface areas is 1:4.

10. If the ratio of the volumes of two spheres is 27:8, what will be the ratio of their curved surface areas?

11. If the ratio of the curved surface areas of two hemispheres is \(4:9\), determine the ratio of their volumes.

12. If the ratio of the volumes of two solid spheres is 1:8, then the ratio of their curved surface areas is 1:4.

13. If the volumes of two solid spheres are in the ratio 1:8, what is the ratio of their curved surface areas?

(a) 1:2 (b) 1:4 (c) 1:8 (d) 1:16

14. If the curved surface areas of two solid spheres are in the ratio 16:9, what is the ratio of their volumes?

15. If the ratio of the total surface areas of two solid spheres is 1:4, what will be the ratio of their volumes? Calculate and write it down.

16. The ratio of the volumes of two spheres is 64:27. If the sum of their radii is 7 cm, what is the difference in their total surface areas?

17. The volume ratio of two solid spheres is 4:27. The ratio of their curved surface areas is-

(a) 4:9 (b) 2:3 (c) 16:35 (d) 8:27

18. If the volume ratio of two solid spheres is 1:8, the ratio of their curved surface areas will be -

(a) 1:2 (b) 2:1 (c) 1:4 (d) 1:16

19. If the ratio of the radii of two vertical solid circular cylinders is 2:3, and the ratio of their heights is 5:3, then the ratio of their curved surface areas will be –

(a) 2:5 (b) 8:7 (c) 10:9 (d) 16:9

20. If the diameters of two cones are equal and the ratio of their slant heights is 5:7, then what is the ratio of their curved surface areas?

(a) 25:7 (b) 25:49 (c) 5:49 (d) 5:7

21. If the ratio of the curved surface areas of two solid spheres is \(1:9\), then their volume ratio will be?

(a) 1:3 (b) 1:27 (c) 1:81 (d) 1:243

22. If the volume ratio of two solid spheres is 1:8, find the ratio of their curved surface areas.

(a) 1:2 (b) 1:4 (c) 1:8 (d) 1:16

23. If the ratio of the radii of two tall solid circular cones is 2:3 and the ratio of their heights is 5:3, then what is the ratio of their curved surface areas?

(a) 8:07 (b) 2:05 (c) 10:09 (d) 16:09

24. The ratio of the radii of two right circular solid cylinders is 2:3, and the ratio of their heights is 5:3. Find the ratio of their curved surface areas.

25. If the ratio of the curved surface areas of two hemispheres is 4:9, then the ratio of their radii will be 2:3.

26. What is the ratio of the volumes of a solid right circular cone and a solid sphere that can be carved with minimal wood wastage from two solid cubes, each having edge length \(a\)?

27. If the volumes of two cubes are in the ratio 64:27, then the ratio of their total surface areas will be 9:16.

28. If the ratio of the radii of two vertical solid cylinders is 2:3 and the ratio of their heights is 5:3, then the ratio of their curved surface areas is 20:27.

29. If the ratio of the radii of two perpendicular solid cones is 2:3 and the ratio of their heights is 5:3, what is the ratio of their volumes ?

(a) 27:20 (b) 20:27 (c) 4:9 (d) 9:4

30. The volumes of two perpendicular circular rings are equal. The ratio of their heights is 4:9, then what will be the ratio of their radii?

(a) 3:2 (b) 2:3 (c) 4:9 (d) 8:9