A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 3.5. What are the dimensions (radius and height) of such a cylinder which has maximum volume?

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1 year ago

The radius of the cylinder is 3.5 and the height is 4. The volume of the cylinder is equal to the volume of the cone, which is (1/3)Ï€r^2h = (1/3)Ï€(3.5)^2(4) = 61.5Ï€.