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If the volume of a hemisphere is 486π cubic cm, then find its radius.

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If the volume of a hemisphere is 486π cubic cm, then find its radius.


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Solution,

Given:

Volume of a hemisphere(V) =486π cm3.

To find:

Radius of the hemisphere (R) = ?

By formula,

Volume of hemisphere(V) = \(\frac23\pi R^3\)
Or, 486π cm3 = \(\frac23\pi R^3\)
Or, \(R^3\) = \(\frac{3\times486\mathrm\pi}{2\mathrm\pi}\)
Or, \(R^3\) = 729 cm3.
∴ R = 9 cm

Hence, the radius of hemisphere is 9cm.

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