Cubic Inches of a Cylinder Calculator
Calculate cylinder volume in cubic inches with precise 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
Solid Cylinder
Given: Radius = 3 inches, Height = 8 inches
Calculation: V = π × 3² × 8
Result: V = π × 9 × 8 = 226.19 cubic inches
Application: Engine cylinder volume
Hollow Cylinder
Given: Outer R = 4 inches, Inner r = 2 inches, Height = 6 inches
Calculation: V = π × (4² - 2²) × 6
Result: V = π × (16 - 4) × 6 = 226.19 cubic inches
Application: Pipe or tube volume
Quick Reference
Solid Cylinder
V = π × r² × h
Hollow Cylinder
V = π × (R² - r²) × h
From Diameter
V = π × (d/2)² × h
Unit Conversions
Common Applications
Engine displacement calculations
Machining and manufacturing
Hydraulic cylinder sizing
Pipe and tube capacity
Small container design
Understanding Cubic Inches Cylinder Volume
The Volume Formula
For a solid cylinder, the volume is V = πr²h, where π ≈ 3.14159, r is the radius, and h is the height. For hollow cylinders, we subtract the inner volume: V = π(R² - r²)h.
Solid: V = π × r² × h
Hollow: V = π × (R² - r²) × h
- V = Volume in cubic inches
- r/R = Radius (inner/outer)
- h = Height of the cylinder
Why Cubic Inches?
Cubic inches are commonly used in automotive (engine displacement), machining, and small-scale manufacturing where precision is important.
Calculation Process
- 1.Convert all measurements to inches
- 2.If using diameter, divide by 2 to get radius
- 3.Square the radius (and inner radius if hollow)
- 4.Subtract inner area from outer (hollow only)
- 5.Multiply by height and π
Common Mistakes
- ×Confusing radius with diameter
- ×Wrong unit conversions
- ×Inner radius ≥ outer radius in hollow cylinders
Practical Applications
Automotive
Calculate engine displacement, cylinder capacity, and hydraulic system volumes
Manufacturing
Precision machining, material calculations, and quality control measurements
Engineering
Small-scale design, component sizing, and capacity calculations