Diameter of a Cylinder Calculator
Calculate cylinder diameter using volume, height, surface area, or radius with step-by-step solutions
Calculate Cylinder Diameter
Length of the cylinder
Volume of the cylinder
Cylinder Calculation Results
Example Calculation
Water Tank Example
Problem: Cylindrical water tank with volume 60 cm³ and height 8 cm
Given: V = 60 cm³, h = 8 cm
Find: Diameter of the tank
Application: Storage tank design and manufacturing
Solution Steps
Formula: d = 2 × √(V / (π × h))
π × h = π × 8 = 25.133
V / (π × h) = 60 / 25.133 = 2.387
r = √2.387 = 1.545 cm
d = 2 × 1.545 = 3.09 cm
Cylinder Elements
Diameter
Width of the circular base
Radius
Half the diameter
Height
Length of the cylinder
Volume
Space inside the cylinder
Formula Reference
From Volume & Height
d = 2√(V/(πh))
From Radius
d = 2r
From Base Area
d = 2√(A/π)
From Lateral Area
d = A_L/(πh)
Volume Formula
V = πr²h
Understanding Cylinder Diameter
What is a Cylinder Diameter?
The diameter of a cylinder refers to the diameter of its circular base. It's the straight line that passes through the center of the base circle and connects two points on the circumference. A cylinder has two identical circular bases with the same diameter.
Why Calculate Cylinder Diameter?
- •Engineering and manufacturing design
- •Storage tank and pipe sizing
- •Material volume calculations
- •Industrial equipment specifications
Mathematical Relationships
V = πr²h
(Volume formula for cylinders)
A cylinder is a 3D geometric shape with two parallel circular bases connected by a curved surface. The diameter is fundamental for calculating volume, surface area, and other cylinder properties.
Key Cylinder Formulas
Volume: V = πr²h
Base Area: A_base = πr²
Lateral Area: A_lateral = 2πrh
Surface Area: A_total = 2πr² + 2πrh
Real-World Applications
- • Water tanks and storage containers
- • Pipes and tubing systems
- • Industrial cylinders and pistons
- • Food cans and packaging
- • Oil drums and barrels
- • Concrete columns and posts
Calculation Methods
- • Volume and height relationship
- • Base area (circular area formula)
- • Lateral surface area calculation
- • Total surface area (quadratic solution)
- • Direct radius measurement (×2)
Related Concepts
- • 3D geometry and solid shapes
- • Circular geometry and π
- • Volume and surface area calculations
- • Engineering design principles
- • Manufacturing tolerances
- • Fluid dynamics and flow