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.
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.)
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................../
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How do I set this up? Using the disk method?
Thanks.