Volume of a Cylinders, Cones, and Spheres How much will I hold. MGSE8 Volume of a Cylinders, Cones, and Spheres How much will I hold? MGSE8.G.9

Definitions 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 Diameter is the measure of a line segment from edge to edge through the center of a circle. Radius is the measure from the center to a point on the circle. Height is the distance between the two bases. Pi or π = 3.14 height radius

Finding the Volume Formula… Volume of a Cylinder = V = πr²h

Example: A can of tomato soup is a cylinder with a radius of 3.5 cm and a height of 10 cm. What’s the volume of the can?

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

Volume of a Cone Cone – Is “pointed” like a pyramid, but its base is a circle. h V = ⅓Лr2h r Area of the Base A = r2 Height of the cone, not to be confused with the slant height (l)

Example 1: Area of Circle V = (⅓)r2h 11in 6 in

Volume of a Sphere

Volume of a Sphere

Volume of a Sphere 2 cm

Volume of a Sphere 10 cm