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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
