Question: Use the Shell Method to find the given volume of rotation. The bead formed by removing a cylinder of radius r from the center of

Use the Shell Method to find the given volume of rotation.

The “bead” formed by removing a cylinder of radius r from the center of a sphere of radius R (compare with Exercise 61 in Section 6.3)

Data From Exercise 61 in Section 6.3

The solid generated by rotating the region inside the ellipse with equation (x/a)²+ (y/b)²= 1 around the x-axis is called an ellipsoid. Show that the ellipsoid has volume 4/3πab². What is the volume if the ellipse is rotated around the y-axis?

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