Cylinder Volume Calculator
Enter the radius of the base and the height of the cylinder to get its volume and surface areas.
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Formula
- Volume:
V = π × r² × h - Lateral surface area:
L = 2 × π × r × h - Total surface area:
A = 2 × π × r × (r + h)
Worked example
Radius 3 and height 5: V = π × 3² × 5 = 45π ≈ 141.3717, L = 2 × π × 3 × 5 = 30π ≈ 94.2478 and A = 2 × π × 3 × (3 + 5) = 48π ≈ 150.7964.
Frequently asked questions
What is the formula for the volume of a cylinder?
V = π × r² × h. With radius 3 and height 5, V = π × 9 × 5 = 45π, about 141.3717.
What is the lateral surface area?
It is the curved side only, without the two circular ends: 2 × π × r × h. For radius 3 and height 5 that is 30π, about 94.2478.
How do I find the total surface area?
Add the lateral area to the two circular ends: 2πrh + 2πr². For radius 3 and height 5 that is 30π + 18π = 48π, about 150.7964.
What if I only know the diameter?
Divide the diameter by 2 to get the radius. A can 6 wide has radius 3, so use 3 in the calculator.