Let be the region bounded by the curve

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

Problem

Let

R

be the region bounded by the curve

y=\sqrt{x}

, the

y

-axis, and the horizontal line

y = 3

. When

R

is revolved about the vertical line

x = -1

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

\dfrac{348\pi}{5}

(b)

\dfrac{288\pi}{5}

(c)

\dfrac{333\pi}{5}

(d)

\dfrac{243\pi}{5}