The volume of a hemisphere is $$2425\frac{1}{2}$$  cm³, Find the radius. $$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{2}{3}\pi {r^3} = 2425\frac{1}{2} \cr & \frac{2}{3} \times \frac{{22}}{7} \times {r^3} = \frac{{4851}}{2} \cr & {r^3} = \frac{{3 \times 7 \times 441}}{8} \cr & r = \frac{{21}}{2} \cr & r = 10.5{\text{ cm}} \cr} $$