SOLUTION: A cone with a base radius of 8 cm fits inside a sphere of radius 10 cm. Find the perpendicular height of the cone. Thank you very much for your help!

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Question 1005205: A cone with a base radius of 8 cm fits inside a sphere of radius 10 cm. Find the perpendicular height of the cone.
Thank you very much for your help!
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
There are two solutions.

One is

h = sqrt%2810%5E2-8%5E2%29 + 10 = 6 + 10 = 16 cm.

The second is

h = 10 - sqrt%2810%5E2-8%5E2%29 = 10 - 6 = 4 cm.

Make a sketch, and everything will be clear to you.