Volume of Cylinder Formula
The volume of a cylinder is given by the area of its base multiplied by its height. The area of the base is given by the area of a circle formula.
Formula Terms
| Expression | Description |
|---|---|
| The volume of the cylinder. | |
| The circle constant (pi), where | |
| The radius of the base circle | |
| The height of the cylinder |
To calculate the volume of a cylinder, multiply by the radius squared and height of the cylinder. For example, to calculate the volume of a cylinder with a radius of and a height of the formula is:
To find a numeric answer, substitute the value in for the circle constant and evaluate the multiplication.
The volume of the cylinder with a radius of and a height of is equal to cubic units or approximately cubic units.
The area of a circle is given by the geometric constant π (pi) multiplied by the radius of the circle squared (A = πr²).
The volume of a sphere is given by four-thirds multiplied by π (pi) multiplied by the radius cubed.
The volume of a cone is given by one-third multiplied by PI, the radius of its base squared, and its height.