SOLUTION: Use integration method to find the volume generated by two curves, {{{y^2=4x}}} and {{{y^2=4(2-x)}}} ,turning 360 degrees, setting x-axis as the pivot.

Question 995439: Use integration method to find the volume generated by two curves, and ,turning 360 degrees, setting x-axis as the pivot.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use integration method to find the volume generated by two curves, and ,turning 360 degrees, setting x-axis as the pivot.
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You can see in the graph that the 2 curves are symmetrical about x = 1, and about the x-axis.
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--> find the volume of the left half rotated about the x-axis.
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from 0 to 1:
Using disks centered on the x-axis:
Vol = pi*r^2*dx

--> Vol = 2pi per half
Total volume = 4pi cubic units.

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