Cylinder Volume Formula: Fast and Accurate Calculation Method

Cylinders are shapes commonly encountered in daily life. However, not everyone is familiar with the formula for calculating cylinder volume. If you want to learn the most efficient and precise method for calculating cylinder volume, refer to the article below.

Below, Mytour shares the formula for calculating cylinder volume and provides specific examples of the fastest and most accurate calculation methods. We invite you to follow along.

Cylinder Concept

A cylinder is a shape with two parallel and equal circular bases.

Cylinder Volume Formula

The volume of a cylinder is calculated by multiplying the base area by the height.

V=Sđáy⋅h=πr2h$V=S_{đáy}\cdot h=\pi r^{2}h$

The standard unit for volume measurement is cubic meter (m3$m^3$).

Where:

• V represents the volume of the cylinder.
• Sđáy$S_{đáy}$ is the base area of the cylinder.
• r is the radius of the circular base.
• h is the height of the cylinder (the distance between two bases, O and O’).
• π$\pi$ is a mathematical constant (∼3,14$\sim 3,14$).

Example of calculating the volume of a cylinder

Example 1: Calculate the volume of a cylinder given the radius of the base r = 6 cm; height of the cylinder h = 8 cm.

Solution:

You simply apply the volume formula:

V=πr2h$V=\pi r^{2}h$

We have:

V=π628=288π$V=\pi 6^{2}8=288\pi$

So, the volume of the cylinder is 288π(cm3)$288\pi \left(c{m}^3\right)$

Example 2: Calculate the volume of a cylinder knowing that the diameter of the base is equal to the height of the cylinder d = h = 8 cm.

Since the problem provides the diameter (denoted as d) of the base, you only need to divide this value by 2 to get the radius r because d = 2r.

➩ r = 8 : 2 = 4 cm.

Applying the volume calculation formula, we have:

V=πr28=π428=128π$V=\pi r^{2}8=\pi 4^{2}8=128\pi$

So the volume of the cylinder is approximately 402 cubic meters (m³) or ∼402cm³.

Above, Mytour has shared with you the formula for calculating the volume of a cylinder and specific examples to help you understand how to calculate the volume of a cylinder more clearly. Hopefully, through this article, you can remember the formula and know how to calculate the volume of a cylinder to apply it in your studies as well as in your work and daily life. Wish you success!