Question:
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 radius r.
Solution:
True
Given, edge of cube = 2r, then height of cube becomes h = 2r.
Volume of a cone = 1/3 πr2h = 1/3 πr2(2r)= 2/3 πr3
Volume of a hemisphere = 2/3 πr3
Hence, the volume of a cone is equal to the volume of a hemisphere.
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