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Calculate the volume of the solid formed by rotating the flag bound by the x- and y-axes and , in the first quadrant, about the y-axis. Homework Help ✎

The area contained in the first quadrant is under a quarter-circle.

The flag will be rotated about the y-axis. This will result in the same volume as rotating about the x-axis.

The resultant 3D figure will be a half-sphere.