Density of a Cylinder Calculator
Calculate cylinder density, mass, or volume using ρ = m/V and cylinder geometry V = πr²h
Calculate Cylinder Properties
Example Calculation
500g Cylinder Density
Given: Mass = 500g, Radius = 5cm, Height = 10cm
Step 1: Calculate volume: V = π × (5 cm)² × (10 cm) = 785.40 cm³
Step 2: Calculate density: ρ = 500g ÷ 785.40 cm³ = 0.6366 g/cm³
Step 3: Convert to SI: ρ = 0.6366 × 1000 = 636.6 kg/m³
Oblique Cylinder Note
Important: This formula works for both right and oblique cylinders
As long as height h is measured perpendicular to the base, V = πr²h applies
Therefore, density calculations remain the same: ρ = m/(πr²h)
Common Cylindrical Objects
Cylinder Facts
Used in pipes, tubes, rods, and structural columns
Volume formula V = πr²h works for right and oblique cylinders
Density helps identify material composition and quality
Critical for structural engineering and material selection
Understanding Cylinder Density Calculations
Cylinder Geometry
A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. The volume of any cylinder (right or oblique) is calculated using V = πr²h, where the height h is always measured perpendicular to the base.
Applications
- •Engineering: Pipes, tubes, rods, structural columns
- •Manufacturing: Quality control and material verification
- •Construction: Concrete columns, steel beams
- •Research: Material science and physics experiments
Formulas
V = πr²h
ρ = m/V
ρ = m/(πr²h)
- V: Volume (m³, cm³, etc.)
- r: Radius of circular base
- h: Height (perpendicular to base)
- ρ (rho): Density (kg/m³, g/cm³, etc.)
- m: Mass (kg, g, etc.)
Note: For oblique cylinders, always measure height perpendicular to the base, not along the slanted side.