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The volume of a right circular cylinder and that of a sphere are equal and their radii are also equal. If the height of the cylinder be h and the diameter of the sphere d, then which of the following relation is correct ?
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- h = d
- 2h = d
- 2h = 3d
- 3h = 2d
- h = d
Correct Option: D
Volume of the cylinder = πr²h
| = | cubic units | |
| 4 |
 | ∵ r = |  | |
| 2 |
| Volume of sphere = | π |  |  | ³ | ||
| 3 | 2 |
| = | d³ cubic units | |
| 6 |
According to the question,
| d³ = | ||||
| 6 | 4 |
| ⇒ | = | ⇒ 4d = 6h | ||
| 6 | 4 |
⇒ 2d = 3h
