A hemisphere of radius 1 sits on a horizontal plane. A cylinder stands with its axis vertical, the.center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume. radius = height =0.82

A hemisphere of radius 1 sits on a horizontal plane. A cylinder stands with its axis vertical, the.center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume. radius = height =0.82

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...

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Question

A hemisphere of radius 1 sits on a horizontal plane. A cylinder stands with its axis vertical, the.center of its base at the center of the sphere, and its top circular rim touching the
hemisphere. Find the radius and height of the cylinder of maximum volume.
radius =
height = 0.82

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