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Find the volume of the solid that results when the regionabove the x-axis and below the ellipsex2a2 + y2b2 = 1 (a > 0, b > 0)is revolved about the x-axis.

Question

Find the volume of the solid that results when the regionabove the x-axis and below the ellipsex2a2 + y2b2 = 1 (a > 0, b > 0)is revolved about the x-axis.
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Solution 1

To find the volume of the solid formed by revolving the region above the x-axis and below the ellipse x^2/a^2 + y^2/b^2 = 1 (where a > 0 and b > 0) about the x-axis, we can use the method of cylindrical shells.

Step 1: Sketch the ellipse and the region of interest. Make sure to label the axes and t Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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