 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.

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 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units Definitions

 Radius is the measure from the center to a point on the circle.  Height is how tall the cylinder is.  Pi or π = 3.14 height radius

Formula… Volume = (area of base) x (height) A = πr² Remember…the base is a circle!!!

r = 5 cm h = 11 cm

What if you only have the diameter? d = 8 cm h = 11 cm

A can of tomato soup is a cylinder with a radius of 7cm and a height of 20 cm. What’s the volume of the can?

 Cone – Is “pointed” like a pyramid, but its base is a circle. Volume of a Cone h r V = ⅓Bh Area of the Base A =  r 2 Height of the cone, not to be confused with the slant height (l)

Example 1: V = ⅓Bh = (⅓)  r 2 h Area of Circle 6 in 11in

Ex.2: Volume of a Composite Figure 8cm 10cm 4cm Volume of Cone first! V = ⅓Bh Volume of Cylinder NEXT! V = Bh V T = V c + V c

 The following cone has a volume of 110 . What is its radius? Ex.3: Solve for the missing variable 10cm r V = ⅓Bh

Volume of a Sphere

2 cm Volume of a Sphere

10 cm Volume of a Sphere

5 in Volume of a Sphere A spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. What is the difference in the two volumes? 10 in