Loading the page...
Preparing tools and content for you. This usually takes a second.
Preparing tools and content for you. This usually takes a second.
Fetching calculator categories and tools for this section.
Free surface area of cylinder calculator & cylinder calculator. Calculate total, lateral, and base surface area of cylinders with step-by-step solutions. Our calculator uses geometric formulas to provide accurate surface area calculations for geometry, engineering, and mathematics education.
Last updated: February 2, 2026
Need a custom geometry calculator for your educational platform? Get a Quote
Distance from center to edge of the circular base
Distance between the two circular bases
Total surface area includes both circular bases and the curved lateral surface
Formula
SA = 2πr(r + h)
Includes both circular bases and curved lateral surface
Formula
LSA = 2πrh
Only the curved surface between the circular bases
Formula
BA = 2πr²
Area of both circular bases combined
Calculations
Area + Volume
Complete geometric analysis of cylinder properties
Geometric shapes
3D Solids
Calculate surface areas and volumes of 3D geometric shapes
Mathematical formulas
π-based Calculations
Uses π (pi) for accurate circular and cylindrical calculations
For cylinder with radius = 5 and height = 10:
Total SA
471.24
Lateral SA
314.16
Base Area
157.08
Our surface area of cylinder calculator uses fundamental geometric principles to calculate the surface area of cylindrical shapes. The calculation applies circular geometry and cylindrical formulas to provide accurate surface area measurements for geometry, engineering, and mathematical applications.
Total SA = 2πr(r + h) = 2πr² + 2πrhLateral SA = 2πrhBase Area = 2πr²The total surface area combines the lateral surface area (curved surface) with the area of both circular bases. The lateral surface area represents the curved surface that would be formed by unrolling the cylinder.
Shows the breakdown of cylinder surface area into lateral and base components
Cylinder surface area calculations are based on circular geometry and the properties of cylindrical shapes. A cylinder consists of two identical circular bases connected by a curved lateral surface. The lateral surface can be visualized as a rectangle when unrolled, with width equal to the circumference of the base (2πr) and height equal to the cylinder height (h).
Need help with other geometric calculations? Check out our volume of cylinder calculator and trapezoid calculator.
Get Custom Calculator for Your PlatformResult: Total Surface Area = 96π ≈ 301.59 units²
Breakdown: Lateral SA = 64π ≈ 201.06, Base Area = 32π ≈ 100.53
r = 3, h = 6
LSA = 2π(3)(6) = 36π ≈ 113.10 units²
r = 5
BA = 2π(5)² = 50π ≈ 157.08 units²
Share it with others who need help with cylinder calculations
Suggested hashtags: #Geometry #Cylinder #Mathematics #Education #Calculator