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Volume of Cylinders Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Volume of a cylinder formula
Volume = π × r² × h, where r is the radius and h is the height.
What does r represent in the cylinder volume formula?
r represents the radius of the circular base of the cylinder.
What does h represent in the cylinder volume formula?
h represents the height of the cylinder.
Unit of volume for a cylinder
The unit of volume is cubic units, e.g., cm³, m³.
How to calculate the area of the circular base of a cylinder
Area of the base = π × r².
Steps to calculate the volume of a cylinder
1. Find the radius (r) and height (h). 2. Calculate the area of the base (π × r²). 3. Multiply the base area by the height (h).
Effect of doubling the radius on the volume of a cylinder
Doubling the radius increases the volume by a factor of 4, as the radius is squared in the formula.
Effect of doubling the height on the volume of a cylinder
Doubling the height doubles the volume, as the height is directly proportional to the volume.
Volume of a cylinder with radius 3 cm and height 5 cm
Volume = π × 3² × 5 = 45π cm³ ≈ 141.37 cm³.
Key assumption when using the cylinder volume formula
The cylinder must have a circular base and uniform height.
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