Question

The outer and the inner radii of a hollow sphere are $12cm$ and $10cm$. Find its volume.

• A. $3050\frac{2}{3}{cm}^3$
• B. $305\frac{2}{3}{cm}^3$
• C. $6050\frac{2}{3}{cm}^3$
• D. None of these

Answer 1

Answer: (A)

We have,

$R=12cm,r=10cm$

We know that the volume of hollow sphere is

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

So,

$=\frac{4}{3}\times \frac{22}{7}\times ({12}^3-{10}^3)$

$=\frac{4}{3}\times \frac{22}{7}\times (1728-1000)$

$=\frac{4}{3}\times \frac{22}{7}\times 728$

$=\frac{4}{3}\times 22\times 104$

$=\frac{9152}{3}$

$=3050\frac{2}{3}c{m}^3$

Hence, this is the answer.