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

Transcribed Image Text:

(-r, 0) y (0,r) 0 y = √√₁²_ (r, 0) x