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A cylinder is inscribed in a right circular cone of height 7.5 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume? Radius = Height = %3D

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.CR: Review Exercises

Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...

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Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

A cylinder is inscribed in a right circular cone of height 7.5 and radius (at the base) equal to 8. What are the dimensions of
such a cylinder which has maximum volume?
Radius =
Height =
%3D

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