# Thread: Volume of Spheroid

1. ## Volume of Spheroid

Find the volume of the spheroid formed by the revolution of the area bounded by the ellipse x^2/(a^2)+ y^2/(b^2)=1 about the major axis a.

Kindly Help!

2. ## Re: Volume of Spheroid

Originally Posted by aqualibra86
Find the volume of the spheroid formed by the revolution of the area bounded by the ellipse x^2/(a^2)+ y^2/(b^2)=1 about the major axis a.

Kindly Help!

1. The axis a is placed on the x-axis.
A rotation volume with the x-axis as axis of rotation is calculated by: $V_{rotx} = \int (\pi \cdot y^2)dx$

2. Since you need y² solve the equation of the ellips for y² and use the formula from #1. The bounds of the integral are -a and a. (Why?)

3. ## Re: Volume of Spheroid

I have did in this way and get V=4/3 (pi) a b^2, just need to know that if this is correct answer .. ?

4. ## Re: Volume of Spheroid

Originally Posted by aqualibra86
I have did in this way and get V=4/3 (pi) a b^2, just need to know that if this is correct answer .. ?
Correct!

Thanks alot!