Solution for the largest cone is carved out from one face of solid cube of side 21cm.find the volume of the remaning solid
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the largest cone is carved out from one face of solid cube of side 21cm.find the volume of the remaning solid
Given edge of the cube=21cm
radius of the cone=1/2*edge of cube
1/2*21 =10.5cm
height of the cone =edge of cube =21 cm
let r be the radius of the cone and h be the height of the cone
we know that volume of cone is the largest right circular cone that can be cut out
volume of cone=1/3 π r^2h =1/3*22/7*10.5^2*21
=2425.5 cm ^3
volume of the cube =[ side ]^3 =21*21*21cm^3
=9261cm^3
volume of the remaning solid =volume of cube - volume of the cone
=9261cm^3 - 2425.5 cm ^3 =6835.5cm ^3 ANS
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