Question
Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is of the volume of the sphere.
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Question 2
A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 10 meters. Find the dimensions of the rectangle so as to admit maximum light through the whole opening.Question Text | Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is of the volume of the sphere. |