Calculate cylinder volume and surface area
785.40
cubic units
471.24
square units
314.16
square units
78.54
square units
Volume = π × r² × hThe volume of a cylinder is the base area (π × r²) multiplied by the height.
Where:
r= Radius of the circular baseh= Height of the cylinderπ= Pi, approximately 3.14159Surface Area = 2πr² + 2πrhTotal surface area includes two circular bases (2πr²) and the lateral curved surface (2πrh).
Where:
r= Radius of the circular baseh= Height of the cylinder2πr²= Area of two circular bases2πrh= Lateral (curved) surface areaInputs
Result
Base Area = π × 5² = 78.54. Volume = 78.54 × 10 = 785.40. Lateral SA = 2π × 5 × 10 = 314.16. Total SA = 314.16 + 2 × 78.54 = 471.24.
Inputs
Result
Base Area = π × 3² = 28.27. Volume = 28.27 × 7 = 197.92. Lateral SA = 2π × 3 × 7 = 131.95. Total SA = 131.95 + 2 × 28.27 = 188.50.
Volume of a cylinder = π × r² × h, where r is the radius and h is the height. For example, a cylinder with radius 5 and height 10 has volume = π × 5² × 10 = 785.40 cubic units.
Surface area = 2πr² + 2πrh = 2πr(r + h). This includes both circular bases and the curved lateral surface. For radius 5 and height 10: SA = 2π(5)² + 2π(5)(10) = 471.24 square units.
Lateral surface area = 2πrh, which is the curved surface area (excluding the two circular bases). For radius 5 and height 10: LSA = 2π(5)(10) = 314.16 square units.
Base area = πr², which is the area of one circular base. A cylinder has two bases, so total base area = 2πr². For radius 5: base area = π(5)² = 78.54 square units per base.
A cylinder has two circular bases and a curved lateral surface. Volume is calculated as base area times height.
The surface area includes both circular bases and the lateral (curved) surface. The lateral surface area is the curved part only.
All cylinder calculations depend on the radius of the base and the height of the cylinder.
Last Updated: Feb 12, 2026
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