An ellipsoid has radii with lengths of $6$ , $6$ , and $4$ . A portion the size of a hemisphere with a radius of $5$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-27T12:39:54

The remaining volume is $=341.4u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*6*6*4-5^3)$

$=2/3pi(288-125)$

$=2/3pi*163$

$=341.4$

An ellipsoid has radii with lengths of 6 6 , 6 6 , and 4 4 . A portion the size of a hemisphere with a radius of 5 5 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?