An ellipsoid has radii with lengths of $9$ , $7$ , and $3$ . A portion the size of a hemisphere with a radius of $3$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-12T08:47:55

The remaining volume is $=735.1u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*9*7*3-3^3)$

$=2/3pi(378-27)$

$=2/3pi*351$

$=735.1$

An ellipsoid has radii with lengths of 9 9 , 7 7 , and 3 3 . A portion the size of a hemisphere with a radius of 3 3 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?