Calculate Volume with Cylindrical Shells | Mathematics | Page 1

frail krakenBOT Feb 20, 2025, 11:47 PM

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dense pond Feb 21, 2025, 1:08 AM

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Your upper bounds is 3 lower bound is 1 i believe

dense pond Feb 21, 2025, 1:28 AM

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Because you set them equal to each other to find your bounds

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2 = 1 + (y-2)^2

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Solve for y

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Wdym?

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If you integrate your upper bound is3 and lower bound is 1

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So then you integrate with that

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You asked for a,b

dense pond Feb 21, 2025, 3:11 AM

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You’re integrating from 2 to 1 sorry

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I just did it you get 16pi/3

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Then it’s 2 + root(x-1) - (2 -root(x-1)) both squared and then you can pull out pi

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Then after u can do u sub and make new bounds 1 and 0

dense pond Feb 21, 2025, 3:58 AM

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Get y by itself

dense pond Feb 21, 2025, 4:13 AM

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Where do you get 3?

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Solve y here

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When you take the square root?

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Not home rn but

thin bane Feb 21, 2025, 8:10 AM

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The bound actually depends on what calculus are u using

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#Calculate Volume with Cylindrical Shells