What is the formula for Volume of a Cylinder?

The mathematical formula for Volume of a Cylinder is V = πr²h. It is used for calculating the 3d volume capacity of a circular cylinder given radius and height.

PanMaths.comFree Printable Math Formula Reference Sheet

Volume of a Cylinder

Geometry • Grades 6, 7, 8, 9

Geometry

Volume of a Cylinder

Q: What do the variables in the Volume of a Cylinder formula represent?

In the formula V = πr²h: V = Volume of the cylinder (cubic units), r = Radius of circular base, h = Perpendicular height / length, d = Diameter of base (2r).

Q: How do you calculate Volume of a Cylinder step-by-step?

To calculate volume of a cylinder: 1. Identify the given values (V = Volume of the cylinder (cubic units), r = Radius of circular base, h = Perpendicular height / length, d = Diameter of base (2r)). 2. Substitute the values into the formula V = πr²h. 3. Simplify and evaluate step-by-step.

Learn how to calculate the 3D volume capacity of a circular cylinder given radius and height.

The Formula

V = πr²h

Used for: Calculating the 3D volume capacity of a circular cylinder given radius and height

VVolume of the cylinder (cubic units)

rRadius of circular base

hPerpendicular height / length

dDiameter of base (2r)

⚡Live Interactive Quick Solver

Instant Calculation

Radius (r):

Height (h):

Cylinder Volume (V):785.40 units³

Exact form: 250π• Step: V = π × 5² × 10 = 785.40

V = \pi r^2 h = \frac{\pi}{4} d^2 h

🎮 60s Speed Game→📝 Practice Worksheets→

✨ Free Classroom Assessment ToolSet A & Set B Anti-Cheat

Custom Math Quiz & Test Maker

Need a mixed Friday review or unit assessment? Create a custom test combining multiple math skills in 15 seconds.

✓Anti-cheat Set A & Set B with alternate numbers for adjacent desks
✓100% step-by-step teacher grading keys with intermediate lines
✓1-click Google Classroom links for student tablet/Chromebook testing

✨ Build Custom Worksheet in 15 Seconds →

🎓 100% Free for Teachers & Parents • No Signups Required • Pure Printable PDF

🎯 Key Concepts & Rules

Essential principles for calculating with this formula:

🛢️V = Base Area × Height

Circular base area (πr²) multiplied by vertical height (h).

📏Cubic Units

Answers are in cm³, m³, in³, or liters (1,000 cm³ = 1 L).

🔄Cone is ⅓ of Cylinder

A cone with matching radius and height holds exactly ⅓ the volume.

🎮 Interactive 60-Second Challenge

Test Your Speed: Cylinder Volume Blitz!

Calculate cylinder volume from radius & height (V = πr²h) under time pressure. Includes instant 3D diagrams, step-by-step intermediate checks, and zero ads.

🥫 Cylinder (πr²h)🔮 Sphere (⁴⁄₃πr³)🍦 Cone (⅓πr²h)📦 Prism (l·w·h)

🚀 Play 3D Volume Sprint Free→