Finding the volume of ellipse using calculus?

So on a calculus exam I took I had a question, I'm asking it here because schools over so I can't go and view the solution, I already got my grade back, there is no cheating, I am just generally curious about the answer.

So the question asked find the volume of an ellipse, recall that the formula for an ellipse is x^2/a^2 + y^2/b^2 = 1 where a>b>0. the radius a lays on the x axis and the radius b lays on the y axis, find the volume of the solid by rotating the top half of the ellipse around the x axis.

basically i solved for y and then used the equation V= pi*integral of (y*dx)^2 is that right?
 
Back
Top