The volume of a cylinder is a measure of the amount of space enclosed by its curved surface. It can be calculated by multiplying the area of the base of the cylinder by its height. The base of a cylinder is circular in shape, and the formula to find the area of a circle is πr², where π (pi) is a mathematical constant approximately equal to 3.14159, and r represents the radius of the base.
To find the volume, we multiply the area of the base by the height of the cylinder. Thus, the formula for the volume of a cylinder is V = πr²h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder.
Let’s take an example to illustrate this. Suppose we have a cylinder with a radius of 4 units and a height of 10 units. We can substitute these values into the formula to find its volume:
V = π(4)²(10)
= 3.14159 × 4² × 10
= 3.14159 × 16 × 10
= 502.65408 cubic units
Therefore, the volume of the cylinder is approximately 502.65408 cubic units.