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The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is
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- 3
- 24
- 8
- 16
- 3
Correct Option: B
Radius of first sphere = 2r units (let).
∴ Radius of second sphere = r units
Curved surface of first sphere = 4πR² = 4π(2r)² = 16πr² sq. units.
| Volume of second sphere = | πr³ cu. units | |
| 3 |
According to the question,
| = | πr³ = 16πr² | |
| 3 |
⇒ 4r = 16 × 3
| ⇒ r = | = 12 units | |
| 4 |
∴ Radius of first sphere = 24 units
