In this video I go over how to solve the volume of a shape formed by rotating a function about the y-axis as opposed to the x-axis. The function in this example is y = x3 and the volume is formed by rotating it about the y-axis.
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Integrals and Volumes: Example 3 Rotate about y-axis
Example:
Find the volume of the solid obtained by rotating the region bounded by y = x3, y = 8, and x = 0 about the y-axis.
Solution: