The region in the first quadrant bounded by and is revolved about the -axis

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

Problem

The region in the first quadrant bounded by

y = x^{2}

and

y = 4

is revolved about the

y

-axis. Which expression correctly represents the outer radius

R(y)

of a typical washer in terms of

y

? (a)

R(y)=2

(b)

R(y)=\sqrt{y}

(c)

R(y)=y^{2}

(d)

R(y)=4