Region is bounded above by and below by for

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

Problem

Region

R

is bounded above by

y=x^{2}

and below by

y=0

for

0\le x\le 2

. When

R

is revolved about the horizontal line

y=-1

, a solid of revolution is generated. For a representative vertical slice at

x

, which of the following is the radius of the corresponding disc? (a)

|x^{2}-1|

(b)

x^{2}+1

(c)

x^{2}

(d)

x^{2}-1