A right circular cylinder is inscribed in a right circular cone so that the center lines of the cylinder and the cone coincide. The cone has a height 15 and radius of base 6. Express the volume of the cylinder as a function of its radius. Find the dimensions and volume of the cylinder that has maximum volume.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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A right circular cylinder is inscribed in a right circular cone so that the center
lines of the cylinder and the cone coincide. The cone has a height 15 and
radius of base 6. Express the volume of the cylinder as a function of its radius.
Find the dimensions and volume of the cylinder that has maximum volume.
h
Transcribed Image Text:A right circular cylinder is inscribed in a right circular cone so that the center lines of the cylinder and the cone coincide. The cone has a height 15 and radius of base 6. Express the volume of the cylinder as a function of its radius. Find the dimensions and volume of the cylinder that has maximum volume. h
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