An ellipsoid has radii with lengths of 4 , 5 , and 7 . A portion the size of a hemisphere with a radius of 5 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
1 Answer
Nov 22, 2016
Explanation:
The ellipsoid has a volume of
4/3 xx pi xx 4 xx 5 xx 7 = {560pi}/3
The volume of the hemisphere is
1/2 xx 4/3 xx pi xx 5^3 = {250pi}/3
The volume remaining is
{560pi}/3 - {250pi}/3 = {310pi}/3