Question : The volume of a hemisphere is $486 \pi\ \mathrm{cm}^3$. Find the radius.
Option 1: 7 cm
Option 2: 9 cm
Option 3: 4 cm
Option 4: 8 cm
Answer (1)
24th Jan, 2024
Correct Answer: 9 cm
Solution :
Let $r$ be the radius of the hemisphere.
The volume of a hemisphere = $486 \pi\ \mathrm{cm}^3$
⇒ $\frac{2}{3}\pi r^3=486\pi$
⇒ $r^3=243×3$
$\therefore r = \sqrt{729}=9\ \mathrm{cm}$
Hence, the correct answer is 9 cm.
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