2. Given the area in the first quadrant bounded by the curve \( x^{2}=8 y \), the line \( x=4 \) and the \( x \)-axis. What is the volume generated by revolving this area about the \( y \)-axis?
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The curve intersects the x-axis at x=0 and the line x=4 at y=2. So, the limits of integration are y=0 and y=2. Show more…
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