Calculating the Volume of a Cylinder: Step-by-Step Guide with Example Calculation and Formula

Volume of a Cylinder

To find the volume of a cylinder, you need to know the radius of the circular base and the height of the cylinder

To find the volume of a cylinder, you need to know the radius of the circular base and the height of the cylinder. The formula for calculating the volume of a cylinder is given by:

V = πr²h

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

To calculate the volume, follow these steps:

1. Identify the radius (r) of the base and the height (h) of the cylinder.
2. Square the radius. This means multiplying the radius by itself (r²).
3. Multiply the squared radius by the height of the cylinder (r²h).
4. Multiply the result by π (pi) to find the volume (V).

Let’s work through an example:

Example: Find the volume of a cylinder with a radius of 4 cm and a height of 10 cm.

1. Given: r = 4 cm, h = 10 cm
2. Square the radius: 4 cm * 4 cm = 16 cm²
3. Multiply the squared radius by the height: 16 cm² * 10 cm = 160 cm³
4. Multiply the result by π: 160 cm³ * π ≈ 502.65 cm³

Therefore, the volume of the cylinder is approximately 502.65 cubic centimeters.

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