A right circular cylinder is inscribed in a sphere of radius r. What is the largest possible volume of such a cylinder?

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circular-cylinder

#1

A right circular cylinder is inscribed in a sphere of radius r. What is the largest possible volume of such a cylinder?

Answer:

Draw a sketch for this problem.

Define following variables:

r1= radius of the cylinder

h= height of the cylinder

Using these variables, volume of the cylinder is

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