To find the volume of a cylinder, use the formula:

Volume=πr2h\text{Volume}=\pi r^2hVolume=πr2h

where:

• rrr is the radius of the circular base of the cylinder,
• hhh is the height of the cylinder,
• π\pi π (pi) is approximately 3.14159.

Steps to calculate the volume:

1. Measure the radius of the base of the cylinder.
2. Square the radius (multiply the radius by itself).
3. Multiply the squared radius by π\pi π.
4. Multiply the result by the height of the cylinder.

This formula calculates the amount of space inside the cylinder, essentially the area of the circular base times the height

. For example, if a cylinder has a radius of 3 cm and a height of 5 cm, the volume is:

V=π×32×5=π×9×5=45π≈141.37 cm3V=\pi \times 3^2\times 5=\pi \times 9\times 5=45\pi \approx 141.37\text{ cm}^3V=π×32×5=π×9×5=45π≈141.37 cm3

This method applies to right circular cylinders. For hollow cylinders (cylindrical shells), the volume is calculated by subtracting the volume of the inner cylinder from the outer cylinder:

Volume=π(R2−r2)h\text{Volume}=\pi (R^2-r^2)hVolume=π(R2−r2)h

where RRR is the external radius and rrr is the internal radius

. In summary, the key formula is:

V=πr2h\boxed{V=\pi r^2h}V=πr2h​

Use this to find the volume of any solid cylinder.