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 2 years 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!
 2 years 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!

This Question is Closed

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0the diagram looks something like this

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0very rough of course!!!!

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.2@cwrw238: Geogebra is your friend ;)

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.2@Aenn88: do you know the Shell method?

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0geogebra? i must try that

Aenn88
 2 years ago
Best ResponseYou've already chosen the best response.0using 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! :)

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

Aenn88
 2 years ago
Best ResponseYou've already chosen the best response.0ok that makes sense..thank you
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