Question: The function defined by y = r 2 - x 2 has as its graph a semicircle of radius r with center at (0, 0)

The function defined by y = √r2 - x2 has as its graph a semicircle of radius r with center at (0, 0) (see the figure on the next page). In Exercises, find the volume that results when each semicircle is rotated about the x-axis. 

ƒ(x) = √36 - x2

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