Let be the region bounded by

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

Problem

Let

T

be the region bounded by

y=x^{2}

, the

x

-axis, and the line

x=2

. When

T

is revolved about the horizontal line

y=-1

, what is the exact volume of the solid generated? (a)

\dfrac{206\pi}{15}

(b)

\dfrac{176\pi}{15}

(c)

\dfrac{136\pi}{15}

(d)

\dfrac{96\pi}{15}