Asked Sep 16, 2019

How do you find the volumes of the solids generated by revolving the region in the first quadrant bounded by the curve x=10y−10y3 and the​ y-axis about the x-axis and y=1?




Expert Answer

Step 1

First solve the given equation for x = 0.


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x 10 y-10y3 10y-10y0 10y(1-y)0 y0, 1- y0 y 0 -y1 y 0, y-1,1 Thus, the curve in the first quadrant lies at (0,1)

Step 2

By shell method obtain the volume of the rotated objec...


Image Transcriptionclose

V ,2ry(10y-10y - 20.7(-y" 207 3 5 =20T 3 5 205-3 15 877 cubic unit 3


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