Verified Formula•Instant Calculation

Cylinder Volume & Surface Area Calculator

Use our free online Cylinder Volume Calculator to perform fast, accurate calculations with instant formulas, step-by-step arithmetic, and verified reference benchmarks.

Cylinder Volume Calculator

Instant Live Computation • Zero Waiting

● Live EngineMath & Science
Preset Scenarios:
Calculated ResultFormula Verified
Calculating...

Adjust inputs on the left for instantaneous live computation.

How to Calculate: The Cylinder Volume Calculator Formula

Volume = πr²h | Surface Area = 2πrh + 2πr²

Volume is base area (πr²) multiplied by height (h). Total surface area equals lateral wall area (2πrh) plus both circular ends (2πr²).

Step-by-Step Calculation Guide

  1. Input cylinder radius (or diameter / 2).
  2. Input cylinder height.
  3. Review cubic volume.
  4. Inspect total outer surface area.

Practical Cylinder Volume Calculator Examples

Water Tank Example

Cylinder radius = 3 ft, height = 8 ft.

Volume = π × 3² × 8 = π × 9 × 8 = 226.19 cubic feet (~1,692 gallons). Surface Area = 2π(3)(8) + 2π(9) = 150.80 + 56.55 = 207.35 sq ft.
Volume: 226.19 cu ft | Surface Area: 207.35 sq ft.
Soda Can Example

Radius = 3.3 cm, Height = 12.2 cm.

Volume = π × 3.3² × 12.2 = π × 10.89 × 12.2 = 417.4 cm³ (approx 355 ml standard can).
Volume: 417.4 cm³ (355 ml capacity).

Cylinder Dimension vs Capacity Conversion Guide

Official reference values and benchmark classifications based on standard institutional guidelines.

Cylinder SizeCubic FeetUS Liquid GallonsLiters
Radius 1 ft, Height 2 ft6.28 cu ft47.0 gal178 L
Radius 2 ft, Height 4 ft50.27 cu ft376.0 gal1,423 L
Radius 3 ft, Height 6 ft169.65 cu ft1,269.0 gal4,804 L
Radius 5 ft, Height 10 ft785.40 cu ft5,875.0 gal22,240 L

Frequently Asked Questions about Cylinder Volume Calculator

How do you calculate the volume of a cylinder?

Multiply Pi (π) by radius squared, then multiply by height: V = π × r² × h.

How do you convert cubic feet to gallons?

One cubic foot equals approximately 7.48052 US liquid gallons.

What is the lateral area of a cylinder?

Lateral area is the surface area of the curved vertical side only, excluding the top and bottom circles (Lateral Area = 2 × π × r × h).

How does doubling the radius affect cylinder volume?

Because radius is squared in the formula, doubling radius quadruples (4x) the total volume for the same height.

Related Calculation Tools