An ellipsoid has radii with lengths of $8$ , $2$ , and $5$ . A portion the size of a hemisphere with a radius of $2$ is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

Question

1286 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-16T15:50:06

The remainng volume is $=318.3 u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*8*2*5-2^3)$

$=2/3pi(160-8)$

$=2/3pi*152$

$=318.3$

An ellipsoid has radii with lengths of 8 8 , 2 2 , and 5 5 . A portion the size of a hemisphere with a radius of 2 2 is removed form the ellipsoid. What is the volume of the remaining ellipsoid?