An ellipsoid has radii with lengths of #3 #, #6 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?
1 Answer
Aug 9, 2018
Explanation:
#"the volume of the ellipsoid is"#
#•color(white)(x)V_(color(red)"ellipsoid")=4/3pir_1r_2r_3#
#V_("ellipsoid")=4/3pixx3xx6xx5=120pi#
#"the volume of the hemisphere is"#
#•color(white)(x)V_(color(red)"hemisphere")=2/3pir^3#
#V_("hemisphere")=2/3pixx8=16/3pi#
#V_("remaining")=120pi-16/3pi=340/3pi~~356" units"^3#
