Question

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

Options

• \[\frac{4}{3}\pi\]

• \[\frac{10}{3}\pi\]

• 5\[\pi\]

• \[\frac{20}{3}\pi\]

Answer 1

The radius of greatest sphere cut off from cylindrical log of wood should be radius of cylindrical log.

i.e., r = 1 cm

The volume of sphere

`=4/3 pi(1)^3`

`=4/3 pi cm^3`