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#
