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The volume of the hemisphere is $2100 {cm}^{3}$ . Find its radius. (Round off your answer to the nearest whole number).

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12

10

11

9

answer is B.

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Detailed Solution

Given that, the volume of the hemisphere =

2100 {cm}^{3} .

We know that,
Volume of hemisphere

= \frac{2}{3} π r^{3}

So, to determine the radius of hemisphere,

\Rightarrow 2100 = \frac{2}{3} \times \frac{22}{7} \times r^{3}

\Rightarrow 2100 \times 3 \times \frac{7}{(2 \times 22)} = r^{3}

\Rightarrow \frac{44100}{44} = r^{3}

\Rightarrow r^{3} = 1002.27

\Rightarrow r = \sqrt[3]{1002.27}

\Rightarrow r \approx 10

cm
Therefore, the radius of the hemisphere is 10 cm.
Hence option (2) is correct.

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