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

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region bounded by

y=3

and

y=1+x^{2}

for

0\le x\le 1

is revolved about the

x

-axis. For a representative

x

in this interval, which function correctly represents the inner radius

r(x)

of the corresponding washer? (a)

r(x)=\sqrt{1+x^{2}}

(b)

r(x)=1+x^{2}

(c)

r(x)=2-x^{2}

(d)

r(x)=3