An ellipsoid has radii with lengths of $8$ , $6$ , and $5$ . A portion the size of a hemisphere with a radius of $6$ is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

Question

1282 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-27T06:55:38

The answer is $=552.9 u^3$

Volume of ellipsoid is $=4/3piabc$

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

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

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

$=2/3pi(2*8*6*5-6^3)$

$=2/3pi(480-216)$

$=2/3pi*264$

$=552.9$

An ellipsoid has radii with lengths of 8 8 , 6 6 , and 5 5 . A portion the size of a hemisphere with a radius of 6 6 is removed form the ellipsoid. What is the volume of the remaining ellipsoid?