The volume of the largest sphere that can be cut from a cylindrical log of wood with a base radius of 1 cm and a height of 4 cm is:

Let r be the radius of the largest sphere which can be cut off from the cylindrical log of wood whose radius is 1 cm and height is 4 cm.

From the given figure, we have

r = 1 cm

∴ The volume of the largest sphere that can be cut off

$=\frac{4}{3}{\mathrm{\pi r}}^3$

$=\frac{4}{3}\mathrm{\pi }{\left(1\right)}^3$

$=\frac{4}{3}\mathrm{\pi } {\mathrm{cm}}^3$