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.