2. Determine the volume of the solid enclosed by \( f(y)=\sqrt{y}+3 \) and \( g(y)=\frac{y}{2}+3 \) and is rotated about the vertical line \( x=1 \).
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We need to find the volume of the solid formed by rotating the area enclosed by the curves \(f(y) = \sqrt{y} + 3\) and \(g(y) = \frac{y}{2} + 3\) around the vertical line \(x = 1\). This is a problem that can be solved using the method of cylindrical shells. Show more…
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