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Shells and disk Methods

1. Calculate the volume of a hershey kiss using the cylindrical shell method: To model the hershey kiss shape rotate the region bound by the graph of f(x) = (x-1)^2 +1, 0 less than or equal to x that is less than or equal to 1 - (x-1)^2 + 1, 1 is less than x that is less than or equal to 2 and the x axis from x= 0 , x=2, around the y axis. 2.Calculate the volume of a Reeses peaut better cup shape using the disk method To model the Reese's peanut butter cup shape, create a region bound by: - The line y= 3/2 - The line y= 0 - The y -axis -The line segment between points (3/2,3/2) and (1,0) Rotate this region around the y-axis.

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