A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12cm?

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 36E: For a right circular cone, the slant height has a measure equal to twice that of the radius length...
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A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12cm? 

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