Calculus

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A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

• Calculus -

there are lots of solutions to this online. A good one is at

where they show that the largest such cylinder has volume 4/9 the volume of the cone. That is, when the cylinder has 1/3 the height of the cone.

• Calculus -

796

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