How do we find the volume of a cylinder?

What is the formula involving the summation for volume of a cone?

What do a and b represent in this formula?

What does δx represent in this formula?

Why should δx be as low as possible?

Ways to improve our volume estimation are:

Image to visualize it:

This imagine represents:

As δx approaches 0, the sum becomes an....

Another way to find the volume of a cone rotated by 360 degrees in the x-axis is by using the formula.....

We can also find the volume of a cone rotated 360 degrees in the y-axis by....

1. Region bounded between x^2 +5 between x=0 and x=4 and the x-axis is rotated 360 degrees about x-axis. Find the volume to 3sf

2. Region bounded between x^2 +5 between y=6 and y=10 and the y-axis is rotated 360 degrees about the y-axis. Find the volume to 3sf

3. Region bounded by y=3x^2 +1 between x=0 and x=2 and the y-axis is rotated by 360 degrees about the y-axis. Find the volume to 3sf