The curved surface area of a sphere is 5544 sq.cm. Its volume is :

Solution (By Examveda Team)

$$\eqalign{ & 4\pi {r^2} = 5544 \cr & \Rightarrow {r^2} = \left( {5544 \times \frac{1}{4} \times \frac{7}{{22}}} \right) \cr & \Rightarrow {r^2} = 441 \cr & \Rightarrow r = 21 \cr} $$
∴ Volume :
$$\eqalign{ & = \left( {\frac{4}{3} \times \frac{{22}}{7} \times 21 \times 21 \times 21} \right){\text{ c}}{{\text{m}}^3} \cr & = 38808{\text{ c}}{{\text{m}}^3} \cr} $$