An ellipsoid has radii with lengths of $6$ , $9$ , and $7$ . A portion the size of a hemisphere with a radius of $6$ is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-01-03T07:21:06

The remaining volume is $=51.6 u^3$

Volume of ellipsoid is $=4/3abc$

Volume oh hemisphere $=2/3pir^3$

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

$=4/3*6*9*7-2/3pi*6^3$

$=504-452.4$

$=51.6$

An ellipsoid has radii with lengths of 6 6 , 9 9 , and 7 7 . A portion the size of a hemisphere with a radius of 6 6 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?