Determine the volume of the solid whose base is the region bounded above by

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

y=\sqrt{x}

, below by

y=0

, and on the right by

x=9

. For each value of

y

, the cross section perpendicular to the

y

-axis is a semicircle whose diameter spans the base region.