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The total surface area of a solid hemisphere is 108π cm². The volume of the hemisphere is
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- 72π cm³
- 144π cm³
- 108√6 cm³
- 54√6 cm³
- 72π cm³
Correct Option: B
If the radius of the solid hemisphere be r cm,
then total surface area = 3πr²
⇒ 3πr² = 108π
| ⇒ r² = | = 36 | |
| 3 |
⇒ r = √36 = 6 cm
| ∴ Volume of the hemisphere = | πr³ | |
| 3 |
| ∴ Volume of the hemisphere = | π × 6 × 6 × 6 = 144π cubic cm. | |
| 3 |
