Question

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

Hint: Here radius of sphere is given, we have to find the volume of sphere using the formula.

Radius of the sphere = r = $\dfrac{7}{2}cm$
Hence volume of the sphere = $\dfrac{4}{3}\pi {r^3}$
Volume of the sphere = $\dfrac{4}{3} \times \left( {\dfrac{{22}}{7}} \right) \times {\left( {\dfrac{7}{2}} \right)^3}c{m^3}$
= $\dfrac{4}{3} \times \left( {\dfrac{{22}}{7}} \right) \times \left( {\dfrac{{343}}{8}} \right)c{m^3}$
= $179.66c{m^3}$