Monday, August 8, 2011

Relationship between radius and height of a hemisphere?

Say I have a hemisphere with radius r = 6. Since it's a hemisphere, then height at that point also equals 6. But say I slice off the bottom of the hemisphere, leaving a curved "cap" with height 2 --what's the radius? I don't think it continues to be a linear relationship, does it? How do I find it? Thanks.

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