Finding the Volume of a Cylinder
(KS3, Year 8)
The LessonThe volume of a cylinder is found using the formula:
In this formula, r is the radius of the cylinder and h is the height of the cylinder. The image below shows what we mean by the radius and height:
"Find the Volume" Widget
- Click on the shape you're learning about.
- Click on the pad to start.
- Follow the instructions in the bottom-left corner.
- On the last click, the formula, workings, and answer will appear in the yellow box.
- Good luck!
How to Find the Volume of a Cylinder
QuestionWhat is the volume of a cylinder with a radius of 5 cm and a height of 10 cm, as shown below?
Substitute the radius and the height into the formula. In our example, r = 5 and h = 10.
Volume = π × 52 × 10 Volume = π × 5 × 5 × 10 Volume = π × 250 Volume = 3.14 × 250 Volume = 785 cm3
Answer:The volume of the cylinder with a radius of 5 cm and a height of 10 cm is 785 cm3.
Lesson SlidesThe slider below shows another real example of how to find the volume of a cylinder. Open the slider in a new tab
What Is a Cylinder?A cylinder has two ends that are circles that are parallel to each other and are joined by a curved surface.
A Sphere in a CylinderIf a sphere is placed in a cylinder, the volume of the sphere is exactly two-thirds the volume of the cylinder. Can you work out why?
A Cone in a CylinderIf a cone is placed in a cylinder, the volume of the cone is exactly a third of the volume of the cylinder. Can you work out why?
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