Question

Find the volume of sphere if its surface area is $5544$ ${cm}^2$

Answer 1

Surface area is $5544$ ${cm}^2$

$5544=4\pi r^2$

$5544=4\times \frac{22}{7}{r}^2$

$5544=\frac{88}{7}{r}^2$

$63=\frac{1}{7}{r}^2$

$441=r^2$

$21=r$

$r=21cm$

Volume$=\frac{4}{3}\pi r^3$

Volume$=\frac{4}{3}\times \frac{22}{7}{r}^3$

Volume$=\frac{88}{21}\times 21\times 21\times 21$

Volume$=88\times 21\times 21$

Volume$=38808c{m}^3$