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Cylinder Volume Calculator

Calculate volume and surface area of a cylinder

📐 Math & Geometry ✅ Free to Use

Cylinder Volume Calculator

Calculate volume, surface area, and other properties of cylinders. Perfect for engineering, construction, and manufacturing calculations.

785.398
Volume
471.239
Surface Area
314.159
Lateral Area
78.540
Base Area

Cylinder Properties

Radius (r): 5.000000 units
Diameter (d): 10.000000 units
Height (h): 10.000000 units
Volume (V): 785.398163 units³
Surface Area (SA): 471.238898 units²
Lateral Area (LA): 314.159265 units²
Base Area (BA): 78.539816 units²
Circumference: 31.415927 units

Cylinder Visualization

h = 10.0r = 5.0
Volume
πr²h
785.40
Surface Area
2πr(r+h)
471.24
Lateral Area
2πrh
314.16
Base Area
πr²
78.54

Cylinder Formulas

Volume

V = πr²h
V = π × 5.00² × 10.00 = 785.398

Surface Area

SA = 2πr(r + h)
SA = 2π × 5.00 × (5.00 + 10.00) = 471.239

Lateral Area

LA = 2πrh
LA = 2π × 5.00 × 10.00 = 314.159

Base Area

BA = πr²
BA = π × 5.00² = 78.540

Cylinder Variations

Right Cylinder

Height perpendicular to base
Most common type
Volume: πr²h

Oblique Cylinder

Height at an angle to base
Same volume formula
Different surface area

Hollow Cylinder

Has inner and outer radius
Volume: π(R² - r²)h
Like a pipe or tube

Real-World Applications

🏭 Industrial Tanks

Calculate capacity of storage tanks, silos, and containers.

🔧 Engineering

Design pipes, columns, shafts, and cylindrical components.

🏗️ Construction

Calculate concrete for cylindrical structures and foundations.

🥫 Packaging

Design cans, bottles, and cylindrical containers.

🧪 Laboratory

Calculate volumes for test tubes, beakers, and equipment.

🚗 Automotive

Engine cylinders, fuel tanks, and hydraulic systems.