MY NOTES DETAILS SESSCALC2 7.3.AE.002. ASK YOUR TEACHER Submit Answer shell height Video Example-4 PRACTICE ANOTHER EXAMPLE 2 Find the volume of the solid obtained by rotating about the y- axis the region between y 6x and y = 3x². SOLUTION The region and a typical shell are shown in the figure. We see that the shell has radius x, circumference 2x, and height 6x - 3x². So the volume is - [²1₂² = 27[[ V = (2x)(6x - 3x²) dx = 2# 27 [² (6x² – 3x³) dx Jo =

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