# How do you find the volume of the region enclosed by the curves #y=2x#, #y=x#, and #y=4# is revolved about the y-axis?

##### 1 Answer

Oct 21, 2015

Volume

#### Explanation:

The region described is the difference between two inverted cones as can be seen from the diagram below:

The volume of the bounded region is the difference between the volume of the external cone and the internal cone.

The general formula for the volume of a cone is

So the required region has a volume of