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

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Answer 1 · 2017-02-14T13:34:47

The remaining volume is $=6.28u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

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

$=2/3pi(4-1)$

$=2/3pi*3$

$=6.28$

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?