An ellipsoid has radii with lengths of $3$ , $1$ , and $3$ . A portion the size of a hemisphere with a radius of $2$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-03-03T17:53:54

The remaining volume is $=20.9u^3$

Volume of ellipsoid is $=4/3piabc$

Volume of hemisphere is $=2/3pir^3$

Remaining volume $=4/3piabc-2/3pir^3$

$=2/3pi(2abc-r^3)$

$=2/3pi(2*3*1*3-2^3)$

$=2/3pi(18-8)$

$=2/3pi*10$

$=20.9$

An ellipsoid has radii with lengths of 3 3 , 1 1 , and 3 3 . A portion the size of a hemisphere with a radius of 2 2 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?