An ellipsoid has radii with lengths of #8 #, #6 #, and #4 #. A portion the size of a hemisphere with a radius of #2 # is removed from the ellipsoid. What is the volume of the remaining ellipsoid?
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1 Answer
Jan 28, 2018
Explanation:
Remember that the formula for the volume of an ellipsoid is:
We plug the given radii lengths to find the volume.
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Now, a hemisphere with a radius of 2 is removed from the ellipsoid.
We have to subtract the volume of the hemisphere from the volume of the ellipsoid.
A volume of a hemisphere is:
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That is our answer!