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Write whether True or False and justify your answer.The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r. |
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Answer» According to the question, Edge of cube, l = 2r Then, diameter of the cone = 2r ⇒ radius of the cone = 2r/2 = r Height of the cone, h = height of the cube = 2r Volume of the cone is given by, Volume of cone = 1/3 πr2h = 1/3 πr2(2r) = 2/3 πr3 = Volume of hemisphere of radius r Hence, the given statement “the volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r” is true. |
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