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Each of the measure of the radius of base of a cone and that of a sphere is 8 cm. Also, the volume of these two solids are equal. The slant height of the cone is
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- 8√17 cm
- 4√17 cm
- 34√2 cm
- 34 cm.
- 8√17 cm
Correct Option: A
| Volume of sphere = | π × 8³ = Volume of cone | |
| 3 |
| Volume of cone = | π r²h | |
| 3 |
| ∴ | × π × 8 × 8 × h | |
| 3 |
| = | × π × 8³ | |
| 3 |
⇒ h= 32 cm.
∴ Slant height = √h² + r² = √32² + 8² = √1024 + 64
= √64(16 + 1) = 8√17 cm.
