An ellipsoid has radii with lengths of $9$ , $16$ , and $4$ . A portion the size of a hemisphere with a radius of $8$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-03-02T07:35:44

The remaining volume is $=1340.4u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*9*16*4-8^3)$

$=2/3pi(1152-512)$

$=2/3pi*640$

$=1340.4$

An ellipsoid has radii with lengths of 9 9 , 16 16 , and 4 4 . A portion the size of a hemisphere with a radius of 8 8 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?