An ellipsoid has radii with lengths of $3$ , $6$ , and $1$ . 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

An ellipsoid has radii with lengths of $3$ , $6$ , and $1$ . 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?

1 Answer

Impact of this question

1331 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-23T02:44:56

$56/3 pi$

Explanation:

The volume of the original ellipsoid was $4/3 pi xx 3 xx 6 xx 1 =24 pi$
The volume taken away is $1/2 xx 4/3 pi xx 2^3 = 16/3 pi$
Thus the volume remaining is $24 pi - 16/3 pi = 56/3 pi$

Science

Math

Humanities

... and beyond

An ellipsoid has radii with lengths of $3$ , $6$ , and $1$ . 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?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

An ellipsoid has radii with lengths of 3 3 , 6 6 , and 1 1 . 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?

1 Answer

Explanation:

Related questions

Impact of this question

An ellipsoid has radii with lengths of $3$ , $6$ , and $1$ . 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?