Mathematics

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}

|5-y|

5-y^{2}

5+y^{2}