A solid has base region bounded by the curve

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

Problem

A solid has base region

B

bounded by the curve

y=\sqrt{x}

, the

x

–axis, and the vertical line

x=4

. Cross sections perpendicular to the

x

–axis are rectangles whose height is three times the base width lying in

B

. Determine the exact volume of the solid.