Question

$\text{The surface area of a sphere is 1386}c{m}^2.\text{Its volume is}\left(a\right)1617c{m}^3\left(b\right)3234c{m}^3\left(c\right)4851c{m}^3\left(d\right)9702c{m}^3$

Answer 1

Surface area of sphere=1386 cm²
4πr² =1386
$4\times \pi r^2=1386$
$r^2=\frac{1386\times 7}{22\times 4}$
$r^2=\frac{441}{4}r=\frac{21}{2}=10.5cm$
Volume of sphere = $\frac{4}{3}\pi r^3$
=$\frac{4}{3}\times \frac{22}{7}\times 10.5\times 10.5\times 10.5$
(c) \(4851 cm^3 \)