The region bounded by and for is revolved about the -axis

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

Problem

The region bounded by

y=\sqrt{x}

and

y=2

for

0\le x\le4

is revolved about the

x

-axis. Write an expression for the cross-sectional area

A(x)

(in terms of

x

) that should be integrated to obtain the volume of the solid.