An edge of a cube measures ‘r’ cm. If the largest possible right circular cone is cut out of this cube, then prove that the volume of the the cone (in cubic cm) is 1/12πr^3
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diameter of cone will be equal to the side of cube = r
radius of cone = r/2
and height of cone is equal to side of cube = r
volume of cone = 1/3 π * (r/2)^2 * h
= 1/3 *π * (r/2)^2 *r
=1/3 π r^3 / 4
= 1/12 π r^3
radius of cone = r/2
and height of cone is equal to side of cube = r
volume of cone = 1/3 π * (r/2)^2 * h
= 1/3 *π * (r/2)^2 *r
=1/3 π r^3 / 4
= 1/12 π r^3
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