Thread: Help with work problem

The region R bounded by the y-axis, the lines y=4 and y=0, and the portion of the
ellipse

(x^2) +4(y-4)^2=100

between the points (6,0) and (10,4) is revolved around the y-axis to form
a container that is full of water. (See picture below.)

____________
...................'
................../
................./
...............-


How do I set this up? Using the disk method?

Thanks.

Yes - you each disc is centered on the y-axis, and you have the radius of each disc: R^2 = 100- 4(y-4)^2. The incremental volume of each disc is therefore:



Integrate this from y = 0 to y =4.