Find the volume of a sphere whose diameter is $ 2.1\ m$.

 Given:

The diameter of a sphere is $2.1\ m$.

To do:

We have to find the volume of the sphere.

Solution:

Diameter of the sphere $=2.1 \mathrm{~m}$

This implies,

Radius of the sphere $(r)=\frac{2.1}{2}$

$=\frac{21}{20} \mathrm{~m}$

Therefore,

Volume of the sphere $=\frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \times \frac{22}{7} \times \frac{21}{20} \times \frac{21}{20} \times \frac{21}{20}$

$=\frac{4851}{1000}$

$=4.851 \mathrm{~m}^{3}$

$=4.85 \mathrm{~m}^{3}$

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Updated on: 10-Oct-2022

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