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Cylinder in a cone A right circular cylinder is placed inside a cone of radius R and height H so that the base of the cylinder lies on the base of the cone. a. Find the dimensions of the cylinder with maximum volume. Specifically, show that the volume of the maximum-volume cylinder is 4 / 9 the volume of the cone. b. Find the dimensions of the cylinder with maximum lateral surface area (area of the curved surface). | Numerade
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