The region under the curve for is revolved about the –axis to create a solid

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

Problem

The region under the curve

y = \sqrt{x}

for

0 \le x \le p

is revolved about the

x

–axis to create a solid. If the volume of this solid is

18\pi

cubic units, determine the value of

p