What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.

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Presentation transcript:

What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. 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? Radius = 5cm Volume = 5 x 5 x 3.14 x 20 Volume = cubic cm

28 cm 60 cm 8 in 10 in Radius = 28 cm Volume = 28 x 28 x 3.14 x 60 Volume = cubic cm Diameter = 10 in Radius = 5 in Volume = 5 x 5 x 3.14 x 8 Volume = cubic in

Pentagonal Prism? Base x height