Volume⏱ 4 min read

Volume of a Cylinder

V = πr²h

📖 What is the Volume of a Cylinder?

A cylinder is a 3D shape with two circular faces and one curved surface. Its volume is the area of the circular base (πr²) multiplied by the height. Think of it as stacking circles on top of each other.

V = π × r² × h

🔤 Variables

V
Volume (cubic units)The 3D space inside the cylinder
r
RadiusThe radius of the circular base
h
HeightThe perpendicular height of the cylinder
π
Pi ≈ 3.14159The ratio of a circle's circumference to its diameter

📝 Example

A can has radius 3 cm and height 10 cm. What is its volume?

1
Identify valuesr = 3 cm    h = 10 cm
2
Calculate r²r² = 9 cm²
3
Apply formulaV = π × 9 × 10 = 90π
Answer: V ≈ 282.74 cm³

🧮 Interactive Calculator

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