Volumes using cross-sections.

kitsune1324

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May 24, 2015
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Hey everyone, I'm having trouble solving this problem.

PS. It's for my calc II class


"Find the volume of the solid generated by revolcing about the y-axis the region bounded by the given equations.
x=y^(3/2), x=0, and y=3."

Thank you so much!
 
Hey everyone, I'm having trouble solving this problem.

PS. It's for my calc II class


"Find the volume of the solid generated by revolcing about the y-axis the region bounded by the given equations.
x=y^(3/2), x=0, and y=3."

Thank you so much!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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Find the volume of the solid generated by revolving about the y-axis the region bounded by the given equations:

x=y^(3/2), x=0, and y=3.
What have you tried so far? For instance, you would have started with what you'd learned back in algebra: you'd have done a graph of x = y^(3/2) (or else y = x^(2/3)), y = 3, and x = 0. You'd have shaded the region, and sketched out general shape of the object which results from revolving this region around the y-axis. You'd have decided your preference for finding the volume: by cylinders (using y = x^(2/3) and "dx") or by discs (using x = (2/3) and "dy"). And... then what?

Please be complete. Thank you! ;)
 
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