What is the formula for the volume of a cylinder?

The formula for the volume of a cylinder is given by the equation:

V = πr²h

In this formula, V represents the volume of the cylinder, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

To understand this better, consider that the volume of the cylinder essentially represents the amount of space it occupies. The volume can be visualized as the area of the base (which is a circle) multiplied by the height of the cylinder. The area of the circular base is calculated using the formula A = πr², and when this area is multiplied by the height h, you arrive at the volume formula for the cylinder.

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