1. Volume of Cylinders and Cones What is the difference in volume between cylinders and cones with the same area bases and same height? How do you find the formula for the volume of a cylinder? How do you find the formula for the volume of a cone?

2. Volume of a Cylinder The volume of a cylinder is the product of its base area and its height. V = b h(base = π r 2 ) V = π r 2 h r H r H

3. Find the Volume… V = π r 2 h V = π (12.3) 2 (22.1) V = 3343.509 π (exact) V = 10,503.9 (approx) 12.3 22.1

4. Water Test How many cones will it take to fill a cylinder? How do you find the formula for volume of a cone? What is the shape of the base?

5. Volume of a Cone The volume of a cone is one-third the product of its base area and its height. V = ⅓ π r 2 h r h

6. Find the Volume… V = ⅓ π r 2 H V = ⅓ π (4.3) 2 (6.7) V = 41.29π (exact) V = 129.73 (approx) 6.7 4.3

7. What is the difference in volume between cylinders and cones with the same area bases and same height? ⅓

8. Homework: Study the two volume formulas that you were given today, and study your cube roots 0-10!