-
The volume of a sphere and a right circular cylinder having the same radius are equal , The ratio of the diameter of the sphere to the height of the cylinder is
-
- 3 : 2
- 2 : 3
- 1 : 2
- 2 : 1
- 3 : 2
Correct Option: A
| Volume of sphere = | πr³ | |
| 3 |
Volume of cylinder = πr²h
As given,
| ⇒ πr²h = | πr³ ⇒ h = | r | ||
| 3 | 3 |
| ⇒ | = | ⇒ | = | = | |||||
| r | 3 | 2r | 3 × 2 | 3 |
| ⇒ | = | where d = 2r | ||
| h | 2 |
