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When the figure given above is spun around its vertical axis, what is the volume of the solid formed?

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14 π {cm}^{3}

44 π {cm}^{3}

4 π {cm}^{3}

144 π {cm}^{3}

answer is D.

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Detailed Solution

Given,

The solid formed after spin will be a hemisphere whose radius is

6

cm. Volume of a hemisphere

=

\frac{2}{3} π r^{3}

\Rightarrow

Volume of a hemisphere

= \frac{2}{3} π \times 6^{3}

\Rightarrow

Volume of a hemisphere

= \frac{2}{3} π \times 6 \times 6 \times 6 = 144 π

Hence, the required volume is

144 π {cm}^{3}

.
Hence, option 4 is correct.

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