An ellipsoid has radii with lengths of 2 2, 1 1, and 1 1. A portion the size of a hemisphere with a radius of 1 1 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Feb 14, 2017

The remaining volume is =6.28u^3=6.28u3

Explanation:

Volume of ellipsoid is =4/3piabc=43πabc

Volume of hemisphere is =2/3pir^3=23πr3

Remaining volume =4/3piabc-2/3pir^3=43πabc23πr3

=2/3pi(2abc-r^3)=23π(2abcr3)

=2/3pi(2*2*1*1-1^3)=23π(221113)

=2/3pi(4-1)=23π(41)

=2/3pi*3=23π3

=6.28=6.28