Presentation on theme: " 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."— Presentation transcript:
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