The region enclosed by the line and the -axis for is revolved about the -axis

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

Problem

The region enclosed by the line

y=x

and the

x

-axis for

0\le x\le4

is revolved about the

y

-axis. Express the square of the outer radius,

\bigl(R(y)\bigr)^{2}

, as a function of

y