Find the volume V obtained by rotating f(x) = x (5-x) and g(x)= 8 - x(5-x) about the y -axis. I understand the height, which f(x)-g(x) since f(x) > g(x), but I don't understand how they got radius, r = x. Can someone explain that to me. Thank you!

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Find the volume V obtained by rotating f(x) = x (5-x) and g(x)= 8 - x(5-x) about the y -axis. I understand the height, which f(x)-g(x) since f(x) > g(x), but I don't understand how they got radius, r = x. Can someone explain that to me. Thank you!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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your radius will be the values of the space between the two curves evaluated via integral from their intersection points, integrating with respect to y

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