An ellipsoid has radii with lengths of #2 #, #7 #, and #3 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

Question

1100 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-12T20:03:15

#=119.45#

The Volume of an Ellipsoid with radii #=2,7 and 3#

#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)

#=pi/6(2times7)(2times2)(2times3)#

#=pi/6(14times4times6)#

#=56pi#

#=176#

Volume of an Hemisphere#=2/3(pir^3)# where #r=3# is the radius
#=2/3pi(3)^3#

#=2/3pitimes27#

#=18pi#

#=56.55#

So the remaining volume of the Ellipsoid

#=176-56.55#

#=119.45#