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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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