Cubic Feet of a Cylinder Calculator
Calculate cylinder volume in cubic feet with step-by-step solutions
Cylinder Volume Calculator
Volume Results
Step-by-Step Solution
1. Please enter valid dimensions to see the calculation steps.
Example Calculations
Small Cylinder
Given: Radius = 2 feet, Height = 5 feet
Calculation: V = π × 2² × 5
Result: V = π × 4 × 5 = 62.83 cubic feet
Application: Small storage tank
Large Cylinder
Given: Diameter = 8 feet, Height = 12 feet
Radius: r = d/2 = 4 feet
Calculation: V = π × 4² × 12
Result: V = π × 16 × 12 = 603.19 cubic feet
Quick Reference
Volume Formula
V = π × r² × h
From Diameter
V = π × (d/2)² × h
Surface Area
SA = 2πr² + 2πrh
Unit Conversions
Common Applications
Storage tanks and silos
Water pipes and conduits
Concrete columns and pillars
Fuel tanks and containers
Industrial equipment design
Understanding Cylinder Volume Calculations
The Volume Formula
The volume of a cylinder is calculated using the formula V = πr²h, where π (pi) is approximately 3.14159, r is the radius of the circular base, and h is the height of the cylinder.
V = π × r² × h
- V = Volume in cubic units
- π = Pi (≈ 3.14159)
- r = Radius of the base
- h = Height of the cylinder
Why Cubic Feet?
Cubic feet is a common unit for measuring volume in construction, engineering, and everyday applications. It's particularly useful for larger volumes like storage tanks, concrete calculations, and space planning.
Step-by-Step Process
- 1.Convert all measurements to the same unit (feet)
- 2.If given diameter, divide by 2 to get radius
- 3.Square the radius (r²)
- 4.Multiply by height (r² × h)
- 5.Multiply by π to get final volume
Common Mistakes
- ×Using diameter instead of radius
- ×Mixing different units of measurement
- ×Forgetting to square the radius
Practical Applications
Construction
Calculate concrete needed for cylindrical columns, posts, and foundations
Storage
Determine capacity of tanks, silos, and storage containers
Engineering
Design pipes, tubes, and cylindrical mechanical components