The volume of the largest solid cone that can be cut off from a solid hemisphere will be

Options

A. `4pir^(3)` cubic - unit
B. `3pir^(3)` cubic - unit
C. `(pir^(3))/4` cubic - unit
D. `(pir^(3))/3` cubic - unit

Answer

D

Explanation

The radius of the hemisphere = r unit
` :. ` the radius of the cone = r unit
and height of the cone = r unit
` :. ` volume of the cone = ` 1/3 pir^(2) xx r`cubic - unit
` = (pir^(3))/3` cubic - unit