To find the volume of the solid obtained by rotating the region enclosed by the curves y = x², y = 0, x = 0 and x = 5 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a Therefore the volume can be found from the cylinder with radius r = and height h = integral V = 2x After evaluating the integral we find that V= dx.

To find the volume of the solid obtained by rotating the region enclosed by the curves y = x², y = 0, x = 0 and x = 5 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a Therefore the volume can be found from the cylinder with radius r = and height h = integral V = 2x After evaluating the integral we find that V= dx.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 11E

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