Find the volume of a sphere whose diameter is $3.5\ dm$.

 Given:

The diameter of a sphere is $3.5\ dm$.

To do:

We have to find the volume of the sphere.

Solution:

Diameter of the sphere $=3.5 \mathrm{dm}$

This implies,

Radius of the sphere $(r)=\frac{3.5}{2}$

$=\frac{7}{2 \times 2}$

$=\frac{7}{4} \mathrm{dm}$

Therefore, 

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

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

$=\frac{539}{24}$

$=22.46 \mathrm{dm}^{3}$

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Updated on: 10-Oct-2022

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