An ellipsoid has radii with lengths of 8, 8, and 12. A portion the size of a hemisphere with a radius of 6 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Jul 20, 2018

Remaining volume of ellipsoid Vr2764.6 cubic umits

Explanation:

http://www.web-formulas.com/Math_Formulas/Geometry_Volume_of_Ellipsoid.aspx

Vol. of ellipsoid =Ve=(43)πabc

If a = b = c, it becomes a sphere and vol. =Vs=(43)πr3

Vol.ofhemisphere=Vh=Vs2=(23)πr3

Given : a=8,b=8,c=12,r=6

Remaining vol Vr=VeVh=(43)πa2c(23)πr3,a=b

Vr=(43)π8212(23)π63

Volume of remaining ellipsoid Vr2764.6 cubic umits