# Volume of a rotation

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• Setting up integral to calculate volume of rotation.doc
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Solution Summary

This shows how to set up an integral to calculate the volume of a solid generated by rotation

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Yupei Xiong, PhD

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Active since 1969

BSc, Peking University
MA, Peking University
PhD, University of Maryland - College Park Campus

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Extracted Content from Question Files:

• Setting up integral to calculate volume of rotation.doc

2 π
a) Take the region bounded by y = cos x and y = 1 - x for 0 ≤ x ≤ and rotate about the line
2
π
x = π . Set up the integral which calculates the volume of rotation (using one variable only).

b) Complete the integration without using integral formulas or calculator estimates. (Please
show work on this so that I can see what to do, I am really lost on this)