Let be the solid generated when the region under on the interval is revolved about…

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

S

be the solid generated when the region under

y=\sqrt{x}

on the interval

1\le x\le 5

is revolved about the

x

-axis. (a) Write a definite integral that represents the volume of

S

. (b) Evaluate the integral obtained in part (a) to obtain the exact volume of

S