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Why is the volume pi r h for a cylinder?

Updated: 4/28/2022
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14y ago

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pi r^2 h is used to determine the volume of a cylinder because when determing the area of a shape you first have to determine the area of the the base of the object and then multiply it by the height. The base of a cylinder is a circle and to find the area of a circle you use pi r^2 and hence the reason why pi r^2 is used to find the volume of the cylinder.

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Q: Why is the volume pi r h for a cylinder?
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What is the ratio of volume of a cone to the volume of a cylinder with same ratio?

It is 3:1. This is because volume of a cone is pi/3*r*r*h while vol of a cylinder is pi*r*r*h.


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Pi*r2*h r = radius of circular cross-section h = height of cylinder


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