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Calc07_3day3

# Calc07_3day3 - 7.3 day 3 The Shell Method Grows to over 12...

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Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2006 7.3 day 3 The Shell Method Japanese Spider Crab Georgia Aquarium, Atlanta Grows to over 12 feet wide and lives 100 years.

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Find the volume of the region bounded by , , and revolved about the y - axis. 2 1 y x = + 2 x = 0 y = 2 1 y x = + We can use the washer method if we split it into two parts: ( 29 2 5 2 2 1 2 1 2 1 y dy π π - - + 2 1 y x - = 1 x y = - outer radius inner radius thickness of slice cylinder ( 29 5 1 4 1 4 y dy π π - - + 5 1 5 4 y dy π π - + 5 2 1 1 5 4 2 y y π π - + 25 1 25 5 4 2 2 π π - - - + 25 9 4 2 2 π π - + 16 4 2 π π + 8 4 π π + 12 π = Japanese Spider Crab Georgia Aquarium, Atlanta
If we take a vertical slice and revolve it about the y-axis we get a cylinder. cross section If we add all of the cylinders together, we can reconstruct the original object.

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Calc07_3day3 - 7.3 day 3 The Shell Method Grows to over 12...

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