Question

The region bounded by y = e−x2, y = 0, x = 0, and x = b (b > 0) is revolved about the y-axis. (Round your answers to three decimal places.) (a) Find the volume of the solid generated when b = 2.

Answer 1

0.982 *
`\pi` = 3.085 cubic units

Explanation:

To find the volume of the solid generated by a region that is bounded by lines where x = 0 , x (b) = 2 we apply the formula given in the attachment below

the required region boundaries are

y = e^-x2 , y = 0 , x = 0, x = b ( b >0)

attached below is a detailed solution of the problem