Question

The volume of hollow sphere is

• A. $\frac{4}{3}\pi (R^3-r^3){cm}^3$
• B. $\frac{2}{3}\pi (R^3-r^3){cm}^3$
• C. $\frac{1}{2}\pi (R^3-r^3){cm}^3$
• D. $\frac{5}{6}\pi (R^3-r^3){cm}^3$

Answer 1

The correct option is A $\frac{4}{3}\pi (R^3-r^3){cm}^3$

Where, $R$ is a radius of a sphere.

To find volume of a hollow sphere, we have to subtract the volume of the inner sphere from the volume of the outer sphere.

Let us assume the radius of outer sphere be $R$ and the radius of the inner radius be $r.$

The volume of a outer sphere $=\frac{4}{3}\pi R^{3}c{m}^3$

The volume of a inner sphere $=\frac{4}{3}\pi r^{3}c{m}^3$

$\therefore$ Volume of hollow sphere $=$ The volume of a outer sphere $-$ The volume of a inner sphere

$=\frac{4}{3}\pi R^3-\frac{4}{3}\pi r^3$

$=\frac{4}{3}\pi (R^3-r^3)c{m}^3$