Tuesday: 10-23-2012

What is a cylinder?A cylinder is a three-dimensional shape that

has two identical circular bases connected by a curved surface.

Cylinder

Radius

Circumference

Height

How do we solve for the volume of any shape?Base x height

Name of this shape:Cylinder

Shape of the Base:circle

Formula for the area of a circle?Area = radius x radius x pi

What is the area for the circle on your page?5² x π

Since we know the base of a cylinder is a circle, how can we rewrite the equation above to make a formula specific to a cylinder?

Volume = radius x radius x pi x height

How is the formula from the top of the page similar to the formula for finding the volume of a cylinder?

How do we solve for the volume of any shape?

Radius = 5cmVolume = 5 x 5 x 3.14 x 20Volume = 1570.8 cubic cm

Solve for Volume – Show your work!

28 cm

60 cm

8 in

10 in

Radius = 28 cmVolume = 28 x 28 x 3.14 x 60Volume = 147705.6 cubic cmDiameter = 10 in Radius = 5 inVolume = 5 x 5 x 3.14 x 8Volume = 628.32 cubic in

Prism and Cylinders

Pentagonal Prism? Base x height