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! Thanks in advance!
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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! Thanks in advance! 1. The axis a is placed on the x-axis. A rotation volume with the x-axis as axis of rotation is calculated by: 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?)
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 .. ?
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!
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