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 12 cm?

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 12 cm?

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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Question

1. 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 12 cm?
12 cm
12 cm

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