Determine the exact volume of the solid whose base is the region bounded by the curves and

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

Problem

Determine the exact volume of the solid whose base is the region bounded by the curves

x = y^{2}

and

x = 4

. Each cross section perpendicular to the

y

-axis is an isosceles right triangle whose legs lie in the base.