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) = √r² - x²

(-r, 0) y (0,r) 0 y = _ (r, 0) x

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