A right circular cone is made by cutting a cubical wooden block of side 9 cm each , then what will be the greatest volume of the cone ?

Explanation

The length of each side of the cube = 9 cm
i.e ., if the radius of the required cone r cm , then 2r = 9 `rArr r = 9/2`
` :.` height of the cone = 9 cm
` :.` colume of the cone `= 1/3 pir^(2)h ` cc
` 1/3 xx 22/7 xx (9/2)^(2) xx 9 ` cc
` = 2673/14` cc
= 190 . 93 cc (approx.)
Hence the greatest volume of the cone = 190.93 cc (approx)