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Sphere Circumscribed around a regular octahedron

 
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May17-12, 07:46 PM   #1
 

Sphere Circumscribed around a regular octahedron


With the help of a few of my friends, we made a problem and was wondering if it is valid.
**THIS IS NOT HOMEWORK**

A sphere is circumscribed around a regular octahedron. The volume of the sphere is 36pi cubic inches. Find the Volume and Surface Area of the octahedron.

Do you think this is sophisticated enough?
 
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