Volume of cylinders
I can use the constant cross-sectional area property of cylinders to determine their volume.
Volume of cylinders
I can use the constant cross-sectional area property of cylinders to determine their volume.
Lesson details
Key learning points
- A cylinder is not a prism but has a similar structure.
- The formula for the volume of a cylinder can be derived by using the formula for a prism.
- This can be used to find the volume of any cylinder.
- Unknown lengths can be found when the volume of a cylinder is known.
Keywords
Prism - a polyhedron with a base that is a polygon and a parallel opposite face that is identical joined by parallelograms.
Radius - any line segment that joins the centre of a circle to its circumference.
Cylinder - 3D shape with a base that is a circle and a parallel opposite face that is identical and uniform cross-section.
Common misconception
Pupils may multiply the length and radius before squaring.
Remind students of the order of operations and link to the volume of a prism formula: finding the area of the cross-section first.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
