An ellipsoid has radii with lengths of 6, 11, and 8. A portion the size of a hemisphere with a radius of 8 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Jan 27, 2018

Remaining volume of ellipsoid Vr1138.9193

Explanation:

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Volume of Ellipsoid Ve=(43)πabc

volume of hemisphere Vh=(23)πr3

Given : a=6,b=11,c=r=8

Ve=(43)π61182211.6812

Vh=(23)π(8)31072.7619

Remaining volume of ellipsoid Vr=VeVh=2211.68121072.76191138.9193