A region is bounded by the -axis

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

Problem

A region is bounded by the

y

-axis, the horizontal line

y=4

, and the curve

y=x^{2}

. For a representative washer at a fixed value of

y

with

0\le y\le4

, which of the following expressions gives the outer radius measured from the

y

-axis? (a)

R(y)=\dfrac{y}{2}

(b)

R(y)=\sqrt{y}

(c)

R(y)=y

(d)

R(y)=\dfrac{1}{2}\sqrt{y}