Question : The volume of a hemisphere is $2425 \frac{1}{2} \mathrm{~cm}^3$. Find its radius.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 12 cm
Option 2: 10 cm
Option 3: 10.5 cm
Option 4: 9.5 cm
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Correct Answer: 10.5 cm
Solution :
The volume of hemisphere = $2425 \frac{1}{2} \mathrm{~cm}^3$
Volume of Hemisphere = $\frac{2}{3} × \pi r^3$
⇒ $\frac{2}{3} × \frac{22}{7} × r^3 = \frac{4851}{2} \mathrm{~cm}^3$
⇒ $r^3 = 1157.63$
⇒ $r = 10.5$ cm
$\therefore$ The correct answer is 10.5 cm.
Hence, the correct answer is 10.5 cm.
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