9-2C 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?

Similarities and Differences…

• Pyramid is to prism as _______ is to cylinder.

• Prism is to cylinder as pyramid is to______.

cone

cone

?

Volume of a CylinderThe volume of a cylinder is the product

of its base area and its height.

V = π r2 H

r

H

r

H

Find the Volume…

V = π r2 HV = π (12.3)2(22.1)

V = 3343.509 π (exact)

V = 10,503.9 (approx)

12.3

22.1

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?• Go to cone• Go to volume formula

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

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

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

⅓

• How do you find the formula for the volume of a cylinder? A cone?

What is the shape of the base? Circle Find circleFind cylinder or coneFind Volume formula

Assignment 9-2CPage 637, 1-9,

26-29No formulas with

numbers, NO CREDIT