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The region below (bounded by the y-axis on the left and three different curves on the right) is rotated around the y- axis, forming a

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The region below (bounded by the y-axis on the left and three different curves on the right) is rotated around the y- axis, forming a solid that looks like an ice cream cone. 74y 6r 5 4 3 2 2 (a) Approximate the volume of the resulting solid using n = 4 and right endpoints in the Riemann Sum. (b) Now suppose that you knew that the equations of the curves on the right are I' + (y - 4)' =4, 1 = 2, and 2y = 3x. Set up integral(s) that compute the volume of this solid exactly. (You do not have to evaluate the integrals.) (c) Determine the average radius of all the circular cross-sections of this ice cream cone. (Your answer should be a number.)

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