Cylinder Calculator

Calculate volume, surface area, lateral area, and all properties of cylinders with step-by-step solutions

Cylinder Properties

Volume
0
cubic units
Total Surface Area
0
square units
Lateral Surface Area
0
square units
Base Area
0
square units
Cylinder Visualization
r h
Volume: V = πr²h
Total Surface Area: TSA = 2πr(r + h)
Lateral Surface Area: LSA = 2πrh
Base Area: A = πr²

Cylinder Properties

Volume
0
cubic units
Total Surface Area
0
square units
Radius
0
linear units
Lateral Surface Area
0
square units
Cylinder Visualization
d
Volume: V = π(d/2)²h
Radius: r = d/2
Total Surface Area: TSA = πd(d/2 + h)

Cylinder Properties

Volume
0
cubic units
Height
0
linear units
Total Surface Area
0
square units
Lateral Surface Area
0
square units
Cylinder Visualization
V
Height Formula: h = V/(πr²)
Total Surface Area: TSA = 2πr(r + h)

Cylinder Properties

Total Surface Area
0
square units
Height
0
linear units
Volume
0
cubic units
Lateral Surface Area
0
square units
Cylinder Visualization
TSA
Height Formula: h = (TSA - 2πr²)/(2πr)
Volume: V = πr²h

How to Use the Cylinder Calculator

Our comprehensive cylinder calculator offers four different calculation modes to find all cylinder properties from any known measurements:

📐 Radius & Height Mode

Enter the base radius and height to calculate volume (V = πr²h), total surface area (TSA = 2πr(r+h)), lateral surface area (LSA = 2πrh), and base area (A = πr²). Most common calculation method.

📏 Diameter & Height Mode

Input the diameter and height to find all properties. Automatically converts diameter to radius (r = d/2) and calculates volume, surface areas, and other properties.

📊 Volume & Radius Mode

Enter known volume and radius to calculate height (h = V/(πr²)) and all surface area properties. Perfect when you know the capacity and base size.

🏗️ Surface Area & Radius Mode

Input total surface area and radius to find height using h = (TSA - 2πr²)/(2πr) and calculate volume and lateral surface area. Great for material estimation.

📊 Key Properties Calculated

• Volume: Space inside the cylinder (πr²h)
• Total Surface Area: Complete outer surface including tops and sides
• Lateral Surface Area: Only the curved side surface (2πrh)
• Base Area: Area of circular top/bottom (πr²)
• Visual Diagrams: 3D cylinder representation with labeled dimensions

💡 Practical Applications

• Construction: Concrete pillars, pipes, tanks
• Manufacturing: Containers, barrels, cans
• Engineering: Storage tanks, pressure vessels
• Education: Geometry problems and calculations
• Design: 3D modeling and space planning

🔧 Pro Tips

• All measurements should use consistent units
• Results are precise to 4+ decimal places
• Use different modes to verify calculations
• Visual diagrams help understand 3D relationships
• Perfect for both academic and professional applications

Frequently Asked Questions

Total surface area includes the curved side surface plus both circular ends (TSA = 2πr(r+h)). Lateral surface area is only the curved side surface (LSA = 2πrh), excluding the top and bottom circles.
First convert diameter to radius (r = d/2), then use the volume formula V = πr²h. Our calculator automatically handles this conversion when you use the "Diameter & Height" mode.
Choose based on what you can measure: Radius & Height for standard measurements, Diameter & Height if you measure across the full width, Volume & Radius if you know capacity, or Surface Area & Radius for material calculations.
Use any unit system (meters, feet, inches, centimeters), but keep all inputs consistent. Results will be in corresponding units: linear units for dimensions, square units for areas, cubic units for volume.
Our calculator uses precise mathematical formulas with high-precision π (pi) value, providing results accurate to 4+ decimal places. This precision is suitable for engineering, construction, and academic applications.