The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

 Given:

The largest sphere is carved out of a cube of side 10.5 cm.

To do:

We have to find the volume of the sphere.

Solution:

The largest sphere is carved out of a cube of side 10.5 cm.

This implies,

The diameter of the sphere $= 10.5\ cm$

This implies,

Radius of the sphere $(r)=\frac{10.5}{2}$

$=\frac{105}{20}$

$=\frac{21}{4} \mathrm{~cm}$

Therefore,

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

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

$=\frac{4851}{8}$

$=606.375 \mathrm{~cm}^{3}$.

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Updated on: 10-Oct-2022

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