Integrals and Volumes: Example 3 Rotate about y-axis

in mathematics •  14 days ago  (edited)

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

Integrals and Volumes Example 3.jpeg

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:

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