Question

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

Answer 1

Radius of sphere, $r=\frac{7}{2}$ $\text{cm}$ $[\because$ sphere touches all the faces of the cube $]$

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

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