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A right circular cylinder and a cone have equal base radius and equal height. If their curved surfaces are in the ratio 8 : 5, then the radius of the base to the height are in the ratio :
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- 2 : 3
- 4 : 3
- 3 : 4
- 3 : 2
- 2 : 3
Correct Option: C
Let Radius of the base = r units and height = h units
| ⇒ | |
| Curvedsurfaceof cone |
| = | |
| πrl |
| ⇒ | = | ||
| 5 | l |
| ⇒ | = | ||
| 5 | √h² + r² |
| ⇒ | = | ||
| 25 | h² + r² |
| ⇒ | = | ||
| h² | 16 |
| ⇒ 1 + | = | ||
| h² | 16 |
| ⇒ | = | - 1 = | |||
| h² | 16 | 16 |
| ⇒ | = | ||
| h | 4 |
or 3 : 4
