Let be the region bounded above by and below by for

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

Problem

Let

R

be the region bounded above by

y=4-x^{2}

and below by

y=1

for

-\!\sqrt{3}\le x\le\sqrt{3}

. When

R

is revolved about the

x

-axis, determine the outer radius

R(x)

and inner radius

r(x)

for a washer located at position

x