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Volume of Cylinders - Concept

Teacher/Instructor Brian McCall
Brian McCall

Univ. of Wisconsin
J.D. Univ. of Wisconsin Law school

Brian was a geometry teacher through the Teach for America program and started the geometry program at his school

The prism volume formula of height times the area of one of the bases can also be applied when calculating the volume of cylinders. To find the volume of a cylinder we simply multiply the height of the cylinder times the area of a circle of one of the bases. By simply knowing this formula, we are able to find missing heights and base measurements in cylinder volume problems.

Calculating the volume of a cylinder is pretty similar to calculating the volume of a prism. We could say that the volume is equal to, its base area times its capital H which is its height. Well the thing that differentiates a cylinder from the prism is that we could have a rectangular prism, a triangular prism basically we could have any kind of base for a prism. A cylinder is always going to have a circular base, well 2 of them to be exact so we can say that our base area will always be the same no matter what size our cylinder. We'll always going to be able to calculate, I want to be very clear our base areas will not be the same but our formulas will be the same. So our base area will be pi r squared times H, so to calculate the volume of the cylinder you only need to know 2 things. The radius and the height of the cylinder, and if you want to you can memorize volume equals base area times height or you can say well since we're talking about a cylinder our base area will always be pi times the radius squared.

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