Consider the region bounded on the left by the curve and on the right by the vertical line

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

Problem

Consider the region bounded on the left by the curve

x = y^{2}

and on the right by the vertical line

x = 5

. The region is revolved about the line

x = 5

. Which of the following expressions gives the distance from the axis of rotation to a point on the curve at height

y

? (a)

y^{2}

(b)

|5-y|

(c)

5-y^{2}

(d)

5+y^{2}