Question

The ratio of the volume and surface area of a sphere of unit radius:

• A. $4:3$
• B. $3:4$
• C. $1:3$
• D. $3:1$

Answer 1

The correct option is C $1:3$

Radius of sphere $=1unit$

$\frac{Volume}{Surfacearea}=\frac{\frac{4}{3}\pi r^3}{4\pi r^2}=\frac{4}{3}\pi {\left(1\right)}^3\times \frac{1}{4\pi (1{)}^2}=\frac{1}{3}$
$\therefore$$V:S=1:3$