An ellipsoid has radii with lengths of $9$ , $8$ , and $9$ . A portion the size of a hemisphere with a radius of $3$ is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2017-05-07T16:49:32

The remaining volume is $=2657.8u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*9*8*9-3^3)$

$=2/3pi(1296-27)$

$=2/3pi*1269$

$=2657.8$

An ellipsoid has radii with lengths of 9 9 , 8 8 , and 9 9 . A portion the size of a hemisphere with a radius of 3 3 is removed form the ellipsoid. What is the volume of the remaining ellipsoid?