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Find the volume of a hemisphere of radius 63\sqrt{3}3​ cm.
Question

Find the volume of a hemisphere of radius 63\sqrt{3} cm.

A.

452√3π cm³

B.

442√3π cm³

C.

432√3π cm³

D.

462√3π cm³

Correct option is C

Given:
Radius of the hemisphere (r) = 63\sqrt 3​ cm
Formula Used:
Volume of a hemisphere, V=23π(r)3V = \frac{2}{3} \pi (r)^3 \\
Solution:
V=23π(63)3 V=23π×6483=432π3 cm3V = \frac{2}{3} \pi (6\sqrt{3})^3 \\\ \\V = \frac{2}{3} \pi \times 648\sqrt{3} = 432\pi\sqrt{3} \, \text{cm}^3​​


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