Calculus: Solids of Revolution

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Calculus: Solids of Revolution

Post  ElgieJim on Fri Jan 21, 2011 8:42 am

I'm attempting to recreate the impressive 3D solids of revolution displayed in my Calculus text. Thus far I have not been successful at all. I'll provide two examples for your consideration. I'm not at all concerned with the results - just how to generate the graphs.

1) Find the volume of the solid formed by revolving the region bounded by the graphs of y = sqrt sin x, and the x-axis from 0 to pi (looks similar to a football).
2) Find the volume of the solid formed by revolving the region bounded by the graphs of y = sqrt x, y = x^2 (x-squared) around the x-axis (looks like a dome tipped on its side).

Thank you in advance.
Elg

ElgieJim

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