V = π r² L

# Calculate the volume of cylindersfor 8th grade

Calculate the volume of cylinders using the formula area of cross-section x length to 2 d.p.

### Calculate the volume of cylinders

A cylinder is a form of prism which means that it has a fixed cross section throughout it's length. The volume of prisms is calculated by multiplying the area of the cross-section by the length. Since a cylinder has a circular cross section, the volume of cylinders can be calculated using the formula:

V = π x r² x L

For example, if we have a cylinder with a length of 6 cm and a cross-section radius of 4 cm, the volume of that cylinder will be:

V = π x 4² x 6 = 301.59 cm³

#### Notes on this topic

This topic asks you to calculate the volume of different sized cylinders. The questions give you both the height of the cylinder and either the area of the cross-section or it's radius. When you are given the area, the calculations can be done in your head, but when given the radius you will require a calculator. All decimal answers must be given to 2 decimal places.

Below is a table showing the first 6 question answer pairs for the topic "Calculate the volume of cylinders" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.

The topic "Calculate the volume of cylinders" is in the category Geometry & measures for 8th grade (ages 13 to 14).

1 / 6
The volume of this cylinder is 55 cm³
55 cm³
2 / 6
The volume of this cylinder is 78 cm³
78 cm³
3 / 6
The volume of this cylinder is 54 cm³
54 cm³
4 / 6
The volume of this cylinder is 27.37 cm³
27.37 cm³
5 / 6
The volume of this cylinder is 1231.50 cm³
1231.50 cm³
6 / 6
The volume of this cylinder is 18.10 cm³
18.10 cm³

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