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Volume Formulas - Cylinder, Cone, Sphere

Videos, solutions, examples, and lessons to help Grade 8 students learn the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.



 

Common Core: 8.G.9

Suggested Learning Targets


  • I can identify and define vocabulary: cone, cylinder, sphere, radius, diameter,
    circumference, area, volume, pi, base, height
  • I can recognize formulas for volume of cones, cylinders, and spheres.
  • I can compare the volume of cones, cylinders, and spheres
  • I can determine and apply appropriate volume formulas in order to solve
    mathematical and real-world problems for the given shape
  • I can, given the volume of a cone, cylinder, or sphere, find the radii, height, or
    approximate for pi.

Related Topics:
Common Core for Grade 8
Common Core for Mathematics
More Math Lessons for Grade 8

8.G.9 - Solid Geometry
How to remember the formulas of a cylinder, a cone and a sphere?
Volume of cylinder = πr2h
Volume of cone = 1/3 πr2h
Volume of sphere = 4/3 πr3
Common Core in the Classroom: Finding the Volume of Cylinders, Cones, and Spheres
Activities in the classroom to help you remember the formulas for cylinder, cone and sphere. Cylindrical Volume 8.G.9
In this common core example, we look at the volume of a cylinder and how the volume changes with changing dimensions.
Example:
If you have a cylinder with a height of 6 inches and a radius of 4 inches, what is the volume of the container. If we make the container 2 inches shorter and decrease the radius by 1 inch less, what is the new volume. How much larger is the original container?



Volume of a Cone 8.G.9
In this common core example, we construct and examine how to approximate the volume of a cone.
Example:
A sand pile in the shape of a cone is 8 feet tall with a diameter of 22 feet. Approximately how many cubic feet of sand are in the pile? Volume, pi and Estimation 8.G.9
How to find the empty space between the cylinder and the contents inside?
Example:
Three tennis balls with a diameter of 2.5 inches are placed inside a cylindrical container with a diameter of 2.7 inches and a height of 8.5 inches. Approximately, how much empty space is inside the container? Comparing spheres, cones, and cylinders
In this problem, we compare the volumes of a sphere, cone and cylinder of equal radius

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