Question

The largest sphere is carved out of a cube of side$7cm.$ Find the volume of sphere.

Answer 1

Step:Find the volume of sphere.

The diameter of the largest sphere that is carved out of a cube with a side of ,will be equal to $7cm.$

Radius of the sphere $=r=7/2cm$

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

Substituting the values in the above volume equation, we get

Volume of the sphere $=\frac{4}{3}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{7}{2}=179.66c{m}^3$

Hence, Volume of sphere is $179.66c{m}^3$.