V = π r² L

for 8th grade

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

Home / 8th grade / Geometry & measures / Measures of 3D shapes / 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

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

Home / 8th grade / Geometry & measures / Measures of 3D shapes / Calculate the volume of cylinders

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