Question

If the ratio of volume and total surface area of a solid sphere is 8 : 1, then the value of radius = _____ cm.

• A. 24

Answer 1

The correct option is A 24
Volume of a sphere = $\frac{4}{3}\pi r^3$
Total surface area of a sphere = $4\pi$$r^2$

$\Rightarrow$ $\frac{Volume}{Surfacearea}=\frac{\frac{4}{3}\pi r^3}{4\pi r^2}=\frac{8}{1}$

$\Rightarrow \frac{r}{3}=8$
$\Rightarrow r=24cm$