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Consider the solid obtained by rotating the region bounded by the given curves about the yaxis. Find the volume of this solid.
y^2=4x
x=y
I don't know how to start!
 one year ago
 one year ago
Consider the solid obtained by rotating the region bounded by the given curves about the yaxis. Find the volume of this solid. y^2=4x x=y I don't know how to start!
 one year ago
 one year ago

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cwrw238Best ResponseYou've already chosen the best response.0
the diagram looks something like this
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.2
Always begin with a drawing, to see what is going on:
 one year ago

cwrw238Best ResponseYou've already chosen the best response.0
very rough of course!!!!
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.2
@cwrw238: Geogebra is your friend ;)
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.2
@Aenn88: do you know the Shell method?
 one year ago

cwrw238Best ResponseYou've already chosen the best response.0
geogebra? i must try that
 one year ago

Aenn88Best ResponseYou've already chosen the best response.0
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! :)
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.2
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:\[\int\limits_{0}^{4}2\pi r hdr=\int\limits_{0}^{4}2\pi x(\sqrt{4x}x)dx\]
 one year ago

Aenn88Best ResponseYou've already chosen the best response.0
ok that makes sense..thank you
 one year ago
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