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Question

If the circumference of base of a hemisphere is 2 $π$ then it volume is ................... cm $^{3}$ .
$\frac{2 π}{3} r^{3}$
$\frac{8 π}{3}$
$\frac{π}{12}$
$\frac{2 π}{3}$

A

\frac{8 π}{3}

B

\frac{2 π}{3} r^{3}

C

\frac{2 π}{3}

D

\frac{π}{12}

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Solution

Verified by Toppr

Circumference of the base of the hemisphere $= 2 π$ (given)
But circumference of the base of hemisphere = $2 π r$
$∴ 2 π r = 2 π \Rightarrow r = 1$
Now, volume of hemisphere $= \frac{2}{3} π r^{3} = \frac{2}{3} π (1)^{3} = \frac{2}{3} π$

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