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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 of radius r.
Options
True
False
Solution
This statement is True.
Explanation:
Given, edge of cube = 2r, then height of cube becomes h = 2r.
Volume of a cone = `1/3 pir^2h = 1/3 pir^2(2r) = 2/3 pir^3`
Volume of a hemisphere = `2/3 pir^3`
Hence, the volume of a cone is equal to the volume of a hemisphere.
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