Let be the region in the first quadrant bounded by the curve and the -axis

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

Problem

Let

R

be the region in the first quadrant bounded by the curve

y=4-x^{2}

and the

x

-axis. When

R

is revolved about the

y

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

16\pi

(b)

4\pi

(c)

8\pi

(d)

\dfrac{256\pi}{15}