Question

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

Answer 1

The diameter of the largest sphere which can be carved out of a cube of side $7cm$ is $7cm$.

Radius of the sphere $=r=\frac{7}{2}cm$

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

Volume of the sphere $=\frac{4}{3}\times \frac{22}{7}\times {\left(\frac{7}{2}\right)}^3{cm}^3$

$=\frac{4}{3}\times \frac{22}{7}\times \frac{343}{8}=179.66{cm}^3$