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anonymous
 one year ago
Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2?
anonymous
 one year ago
Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 @zepdrix Appreciate it if you guys could give me a hand.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Oh we only have to set it up this time? Nice!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444441990320:dwGiven these boundary lines, do you understand which region we're dealing with?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444442057843:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Ok good good good. That's the one surrounded by all of our boundaries.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2OH NOES! :( I just realized.. they have all of the options in terms of y. UGHHHH

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2They set up the integral in terms of y. So we need to actually slice the other direction. Lemme erase all this garbage a sec :c

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444442601942:dwSo instead we'll get a disk :d

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I would've never noticed that lol. Good eye

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm y=x^3\qquad\to\qquad x=y^{1/3}\]Here is how we can think of our curve in terms of y instead of x.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444442739693:dwSo again, our radius is this blue minus red