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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
Volumes of Pyramids & Cones
1 Geometric Solids: Cylinders and Cones. Cylinders Cylinder: A right prism with circular bases. Therefore, the formulas for prisms can be used for cylinders.
Volume of a Cylinder, Cone, and Sphere We are learning to…find the volume of a cylinder, cone and sphere.
Lesson 9-3: Cylinders and Cones
Volume of a Cylinder and Cone Today we will answer the very important question …. Which holds more ice cream; a small cup or a cone? Predictions?
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Internal 3 Credits DO NOW: Convert the following: 1) cm 3 to mm 3 2) 728,955 mm 3 to cm 3 3) Write up the method you use for doing this.
Volume: the amount of space inside a 3-dimensional shape measured in cubic units What is a cubic cm? A 3-D unit that measures 1 cm on all sides Volume.
Volumes of Pyramids & Cones Objectives: 1) Find the volume of a right Pyramid. 2) Find the volume of right Cone.
A prism is a solid whose sides (lateral sides) are parallelograms and whose bases are a pair of identical parallel polygons. A polygon is a simple closed.
Surface Area & Volume G.13.
Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres.
What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.
12.3 Surface Area of Circular Solids
A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.
Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri
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