How is cylinder volume calculated?

Volume = π × r² × h, where r is the base radius and h is the height. It is the base circle's area multiplied by the height.

What is the difference between lateral and total surface area?

Lateral surface area (2πrh) covers only the curved side. Total surface area adds both circular bases: 2πrh + 2πr².

What units should I use?

Enter radius and height in the same unit (cm recommended). Volume comes out in cubic centimeters (cm³) and liters; areas in square centimeters (cm²).

Cylinder Calculator

Radius (cm)

Height (cm)

Volume

1178.1 cm³

1.178 L · r = 5.00 cm, h = 15.00 cm

Total Area

628.3 cm²

Lateral Area

471.2 cm²

Base Area

78.5 cm²

Quantity	Value
Radius	5.00 cm
Height	15.00 cm
Base Area (πr²)	78.54 cm²
Lateral Area (2πrh)	471.24 cm²
Total Surface Area	628.32 cm²
Volume	1178.1 cm³
Volume (liters)	1.178 L

Surface Area Split

Summary Statistics

Volume1178.1 cm³

Volume (L)1.178 L

Total Surface Area628.32 cm²

Lateral Area471.24 cm²

Base Area78.54 cm²

ShapeRight circular cylinder

About the Cylinder Calculator

A right circular cylinder is defined by its base radius r and height h. Its volume is the base area times the height (V = πr²h); its lateral surface unrolls into a rectangle of width 2πr and height h, giving 2πrh, plus two circular bases for the total.

Common Applications

Volume answers how much a can, pipe, or tank holds; surface area answers how much material its walls need. Doubling the radius quadruples the volume at fixed height — capacity scales with the square of the radius.

Frequently Asked Questions

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