The region bounded above by and below by on is revolved about the -axis to create a solid

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · ISC

Problem

The region bounded above by

y=2

and below by

y=x

0\le x\le 2

is revolved about the

x

-axis to create a solid. What is the volume of the solid? (a)

6\pi

(b)

\dfrac{32\pi}{3}

(c)

\dfrac{16\pi}{3}

(d)

\dfrac{8\pi}{3}