A right circular cone is inscribed in such a way that its vertex is at the center of the circular top of the hemisphere of diameter 6 inches. Find the dimensions of the maximum volume of the inscribed cone.

A right circular cone is inscribed in such a way that its vertex is at the center of the circular top of the hemisphere of diameter 6 inches. Find the dimensions of the maximum volume of the inscribed cone.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 88RE

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Absolute extrema, Extreme Value Thm & Optimization:

A right circular cone is inscribed in such a way that its vertex is at the
center of the circular top of the hemisphere of diameter 6 inches.
Find the dimensions of the maximum volume of the inscribed cone.

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