ight circular cone is inscribed in a sphere. The base of the cone lies in the bottom half of the sphere. A dashed line segment goes from the vertex of the cone to a point in the center of the sphere. It is labeled 18 inches. The radius of the sphere has a length of 18 in. If the slant height of the cone has a length equal to that of its diameter, find the length (in inches) of the following. (a) the radius of the base of the cone (b) the altitude of the cone

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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A right circular cone is inscribed in a sphere.
A right circular cone is inscribed in a sphere. The base of the cone lies in the bottom half of the sphere. A dashed line segment goes from the vertex of the cone to a point in the center of the sphere. It is labeled 18 inches.
The radius of the sphere has a length of 18 in.
If the slant height of the cone has a length equal to that of its diameter, find the length (in inches) of the following.
(a)
the radius of the base of the cone
(b)
the altitude of the cone
 
18 in.
The radius of the sphere has a length of 18 in.
Transcribed Image Text:18 in. The radius of the sphere has a length of 18 in.
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