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.