Use the integration capabilities of the graphing utility to approximate the volume of the solid generated by revolving the region about the y-axis. (Round your answer to three decimal places.)

Question

y= ((x − 4)^2(x − 7)^2)^1/3

y = 0

x = 4

x = 7

Answer 1

By shell method volume V = 2π∫₄⁷x(x - 4)^2/3(x - 7)^2/3dx = 131.583