Going back to x, the volume of our solid is

How is the volume of a regular solid determined?

Why does a solid have a definite shape and volume?

Now we can say that the volume of the solid created by rotating the region under y = 4e−x2and above the x-axis between x = 0 and x = 1 around the y-axis isV = b2𝜋rh dxa= 2𝜋x

Let S be the region enclosed by the graphs of y = 2x and y = 2x2 for 0≤𝑥≤1. What is the volume of the solid generated when S is revolved about the line y = 3? ...3?

Now we can say that the volume of the solid created by rotating the region under y = 4e−x2and above the x-axis between x = 0 and x = 1 around the y-axis isV = b2𝜋rh dxa= 2𝜋x  dx.0