Determine the exact volume of the solid generated when the region bounded by and on…

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

Problem

Determine the exact volume of the solid generated when the region bounded by

y=\sin x

and

y=\cos x

0\le x\le \dfrac{\pi}{2}

is revolved about the horizontal line

y=-1

. (a)

\pi\bigl(2\sqrt{2}-\dfrac{3}{2}\bigr)

(b)

\pi\bigl(4\sqrt{2}-3\bigr)

(c)

\pi\bigl(2\sqrt{2}-2\bigr)

(d)

\pi\bigl(4\sqrt{2}-\dfrac{3}{2}\bigr)