# Volume Formulas - Cylinder, Cone, Sphere

Videos 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

Know and use the formulas for volumes of cones, cylinders, and spheres - Lesson 1 of 3 (CCSS: 8.G.9)
How to find the volume of a cylinder?
In this lesson you will learn how to develop and apply the formula for volume of a cylinder by using the concept of stacking circles.
Know and use the formulas for volumes of cones, cylinders, and spheres - Lesson 2 of 3 (CCSS: 8.G.9)
How to find the volume of a cone?
In this lesson you will learn how to develop and apply the formula for volume of a cone by comparing cones to cylinders.

Know and use the formulas for volumes of cones, cylinders, and spheres - Lesson 3 of 3 (CCSS: 8.G.9)
How to find the volume of a sphere?
In this lesson you will learn how to develop and apply the formula for volume of a sphere by comparing spheres and cylinders with similar dimensions.
8.G.9 - Solid Geometry
How to remember the formulas of a cylinder, a cone and a sphere?

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?

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