# Cylinder Volume

The volume of the cylinder is basically the volume enclosed between the two bases and its shell.

To calculate it we need the radius of the cylinder $(R)$ and the height of the cylinder $(H)$.

In geometry it is customary to mark the volume with the letter $(V)$.

The formula for the volume is:

#### $V=π\times R²\times H$

$π$ (pi) is a mathematical constant whose value is (approximately) equal to. $3.14$.

## Exercise: Cylinder volume

Given the cylinder shown in the figure.

According to the data, find the volume of the cylinder, the lateral surface area and the total surface area.

What is the volume of the cylinder?

Solution:

From the figure it can be seen that the radius of the bases is equal to $R = 5$ cm, and the height of the cylinder is equal to $H = 10$ cm.

Now it only remains to put in the formulas what we have learned.

Calculation of the volume of a cylinder :

$V=π\times R²\times H$

$= 3.14\times 25 \times 10= 785$

If this article interests you, you may be interested in the following articles:

Cylinder area

Cylinder

Right triangular prism

The bases of the right triangular prism

The lateral faces of a prism

Lateral edges of a prism

Height of a prism

Surface area of triangular prisms

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