A cone will be inscribed in a sphere of radius 10 in. Part A: Find the exact dimensions of the cone of largest volume that will fit inside the sphere. Part B: Find the maximum volume cone to the nearest tenth.

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
Section9.1: Prisms, Area And Volume
Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....
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A cone will be inscribed in a sphere of radius 10 in.
Part A: Find the exact dimensions of the cone of largest volume that will fit inside the sphere.
Part B: Find the maximum volume cone to the nearest tenth.
Transcribed Image Text:A cone will be inscribed in a sphere of radius 10 in. Part A: Find the exact dimensions of the cone of largest volume that will fit inside the sphere. Part B: Find the maximum volume cone to the nearest tenth.
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