The formula for the volume of a cylinder is:

V = πr²h

Where:

• ( V ) = volume of the cylinder
• ( π ) (pi) ≈ 3.14159 (or you can use ( \frac{22}{7} ) for approximate calculations)
• ( r ) = radius of the circular base (half the diameter of the base)
• ( h ) = height of the cylinder (the perpendicular distance between the two circular bases)

Example:

If a cylinder has a radius of 3 cm and a height of 10 cm, its volume is:
( V = π(3)²10 = π910 = 90π ≈ 282.74 ) cm³.

This formula comes from multiplying the area of the circular base (( πr² )) by the height of the cylinder—since volume of a prism (which a cylinder is, in 3D) is base area × height.

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