The volume of the largest right circular
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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