Let . The base of a solid is the region enclosed by the curves and . Cross sections…

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

Problem

Let

k>0

. The base of a solid is the region enclosed by the curves

y = x^{2}

and

y = kx

. Cross sections taken perpendicular to the

x

-axis are semicircles whose diameters span the region. Express the volume of the solid in terms of

k