Question
Find the volume of the solid whose base is the region between $y=x^{2}$ and $y=4$ and whose perpendicular cross-sections are isosceles right triangles with the hypotenuse on the base.
Step 1
The graph of $y=x^{2}$ is a parabola centered at the origin, and the graph of $y=4$ is a horizontal line. The intersection of these two graphs occurs at $x=-2$ and $x=2$. Show more…
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