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An edge of a cube measures 'x'cm .if the largest possible right circular cone is cut out of this cube, then the volume of the cone will be : please fast answer ↩️⬅️ |
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Answer» The LARGEST cone that can be cut out of a cube MUST have its DIAMETER and height EQUAL to the side of the cube. (Refer the DIAGRAM) Thus the dimensions of the cone are:- diameter = r ; radius = r/2 height = r We know that volume of a cone = 1/3πr²h So in this case, volume = 1/3π(r/2)²r = 1/3πr²/4*r = 1/12πr³ |
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