An ellipsoid has radii with lengths of $6$ , $5$ , and $9$ . 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?

Question

1291 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-07T05:42:22

The remaining volume is $=678.6u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*6*5*9-6^3)$

$=2/3pi(540-216)$

$=2/3pi*324$

$=678.6$

An ellipsoid has radii with lengths of 6 6 , 5 5 , and 9 9 . 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?