Region is bounded on the left by and on the right by for

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

Problem

Region

S

is bounded on the left by

x=y^2

and on the right by

x=y+2

for

0\le y\le 2

. When

S

is revolved about the vertical line

x=5

, what is the volume of the resulting solid? (a)

\dfrac{216\pi}{15}

(b)

\dfrac{316\pi}{15}

(c)

\dfrac{184\pi}{15}

(d)

\dfrac{332\pi}{15}