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The diameter of a sphere is twice the diameter of another sphere. The surface area of the first sphere is equal to the volume of the second sphere. The magnitude of the radius of the first sphere is
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- 12
- 24
- 16
- 48
- 12
Correct Option: B
Radius of first sphere = 2r cm.
Radius of second sphere = r cm.
According to the question,
| 4π(2r)² = | πr³ | |
| 3 |
| ⇒ 4πr² = | πr³ | |
| 3 |
⇒ 12 = r
∴ Radius of first sphere = 24 cm.
