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A child reshapes a cone made up of clay of height 24cm and radius 6cm into a sphere. The radius (in cm) of the sphere is
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- 6
- 12
- 24
- 48
- 6
Correct Option: A
| Volume of the cone = | πr²h | |
| 3 |
| = | × 6 × 6 × 24 cm³ | |
| 3 |
= Volume of the sphere If the radius of the sphere be r cm, then
| πr³ = | × 6 × 6 × 24 | |||
| 3 | 3 |
⇒r³ = 6 × 6 × 6
∴ r = √6 × 6 × 6 = 6 cm.
