Problem 44E

Volumes of solids

Find the volume of the following solids.

The region bounded by y = (1 − x2)−l/2 and y = 4 is revolved about the x-axis.

Problem 44E

Volumes of solids Find the volume of the following solids.

The region bounded by y = and y = 4 is revolved about the x-axis.

Answer;

Step 1; In this problem we need to find the volume of the solid founded by the region bounded by y = , and y =4 is revolved about the x-axis.

In order to find the volume, we will be using the following condition.

If f and g are the functions such that and g(x) , for all in the interval , then the volume of the solid generated by revolving, around the x axis, the region bounded by the graph of , g and the vertical lines andis given by the integral

Volume