Using shell method identify the radius and height of each, Mathematics

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Using shell method identify the radius and height of each

Using shell method, identify the radius and height of each shell and calculate the volume of the equation x² + y² = 2y revolved about y=4.

I understand the radius is =4-y, but because the bounded region is a circle, I don't follow how to calculate the height of each shell. I thought it would be ±√(2y - y²), one subtracted from the other, but the example shows the height is equal to 2√(4 - y²). I just don't follow how to get there.

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Mathematics: Using shell method identify the radius and height of each

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