Parametric Equations and integrals that represent volumes

[peterpam89]

Homework Statement

A surface S is formed by rotating a quarter ellipse C about the X-axis. Write an integral that represents the volume enclosed by S. the ellipse is represented by two points, (2,1) at which t= pi/2, and (4,0) at which t=0.

Homework Equations

Ellipse w/radii a,b, in x,y: x= x subscript 0 + a cos (t), y = y subscript 0 + b sin (t)
Cartesian equation of ellipse.

The Attempt at a Solution

Eek. I don't really know where to even start with this problem... any ideas?

 

[Dustinsfl]

You could try x(t)=2+2*cost and y(t)=sint