anonymous
  • anonymous
Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. Find the volume of this solid. y^2=4x x=y I don't know how to start!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cwrw238
  • cwrw238
the diagram looks something like this
ZeHanz
  • ZeHanz
Always begin with a drawing, to see what is going on:
1 Attachment
cwrw238
  • cwrw238
|dw:1359323354480:dw|

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cwrw238
  • cwrw238
very rough of course!!!!
ZeHanz
  • ZeHanz
@cwrw238: Geogebra is your friend ;)
ZeHanz
  • ZeHanz
@Aenn88: do you know the Shell method?
cwrw238
  • cwrw238
geogebra? i must try that
anonymous
  • anonymous
using cylindrical shells? i somewhat understand it in watching videos but I have a hard time applying it to another problem. i will use geogebra in the future! :)
anonymous
  • anonymous
@ZeHanz
ZeHanz
  • ZeHanz
See geogebra.org. First , remember if y²=4x then y=√(4x). Here r is x, and h is the length of the vertical difference of the two graphs: Cylindrical shells:\[\int\limits_{0}^{4}2\pi r hdr=\int\limits_{0}^{4}2\pi x(\sqrt{4x}-x)dx\]
anonymous
  • anonymous
ok that makes sense..thank you

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