• # question_answer Find the volume of a sphere whose surface area is 2464 $\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}$ A)  11498.67 $c{{m}^{3}}$    B)  12298 $c{{m}^{3}}$       C)  23598.67 $c{{m}^{3}}$        D)  1248.67 $c{{m}^{3}}$

(a): Surface area $=2464=4\pi {{r}^{2}}$ $\Rightarrow {{r}^{2}}=\frac{2464}{4\pi }$ $\frac{2464\times 7}{4\times 22}$ $=\frac{308\times 7}{11}=28\times 7$ $\Rightarrow r=14\,.$  $\therefore$vol$=\frac{4}{3}\times \frac{22}{7}\times 14\times 14\times 14$ $=\frac{88\times 28\times 14}{3}=\frac{88\times 392}{3}$ = 11498.67.