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Let’s look at what types of 3-dimensional figures are not considered polyhedrons and what characteristics make up these solid figures.

Let’s cut up a cylinder to find its volume. Then you can use that to build an equation for volume of a cylinder and see how it relates to volume of a prism.

Discover the relationship between the volume of a cylinder and cone to find the equation for volume of a cone.

Discover the relationship between the volume of a cylinder and sphere to find the equation for volume of a sphere.

Use the relationship between the volume of a sphere and hemisphere to find the equation for volume of a hemisphere.

Use a net to find the surface area of a cylinder and derive an equation for the surface area of any cylinder.

Use the relationship between the equations for surface area of a prism and cylinder to predict a relationship between the equations for surface area of a pyramid and cone.

Use the relationship between the surface area of a sphere and the lateral surface area of a cylinder with the same dimensions to develop an equation for the surface area of the sphere. This relationship was first discovered by Archimedes. For more information on how Archimedes discovered this relationship, please visit: https://bit.ly/2RKnue0

Use the relationship between the surface area of a sphere and hemisphere to find the equation for surface area of a hemisphere.

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