Volume CalculatorAI
Bentuk 3DV = π × r² × h

Kalkulator Isi Padu Silinder

Kira isi padu, luas permukaan dan kapasiti cecair untuk silinder membulat padu dan berongga dengan output pelbagai unit.

Cylinder Volume Solver

Multi-way bi-directional • Surface areas • Real-time

Presets:
r = 5 inh = 12 in
1. Dimensions & Radiustype to solve
2. Cylinder VolumeCalculated
3. Surface Area Results
78.54 sq in
376.99 sq in
534.07 sq in
4. Material Weight Estimatoroptional
Formulas, calculation steps & FAQs below↓
Formulas & Calculation Guide

How to Calculate Cylinder Volume

A cylinder is a geometric solid bounded by two parallel congruent circular bases and a curved surface formed by parallel segments connecting corresponding points of the bases.

The Governing Geometric Formulas

  1. Volume (V): V = π × r² × h Where π ≈ 3.14159, r is the base radius, and h is the vertical height.

  2. Base Area (A_b): A_b = π × r²

  3. Lateral Surface Area (A_L): A_L = 2 × π × r × h

  4. Total Surface Area (A_total): A_total = 2 × π × r² + 2 × π × r × h = 2 × π × r × (r + h)

Cylinder volume – calculation example

Let’s calculate the capacity of a hot water storage tank with an interior diameter of 24 inches (radius 12 inches) and height of 60 inches:

  1. Enter the radius: radius = 12 inches.
  2. Enter the height: height = 60 inches.
  3. Find base area: base area = 452.39 sq inches.
  4. The calculation results are available for you: volume = 27,143.4 cubic inches (117.5 US Gallons / 444.8 Liters).
  5. Total surface area: surface area = 5,428.7 sq inches (37.7 sq ft).

💡 Cavalieri’s principle states that an oblique (tilted) cylinder of the same perpendicular height has the exact same internal volume as a vertical cylinder.

Frequently Asked Questions

Expert answers to common calculations, unit conversions, and dimensional requirements.

What is the formula for the volume of a cylinder?↓
The volume of a cylinder is calculated by multiplying the circular base area by its height: V = π · r² · h. If using the diameter d instead of radius r, the formula is V = (π · d² · h) / 4.
How do you calculate the total surface area of a cylinder?↓
The total surface area includes the top circle, the bottom circle, and the curved side wall (lateral area): A_total = 2πr² + 2πrh. The lateral area alone is A_lateral = 2πrh.
How do you convert cylinder volume from cubic inches to gallons?↓
Divide the volume in cubic inches by 231 (since 1 US liquid gallon equals exactly 231 cubic inches). For example, a cylinder measuring 2,310 cubic inches holds 10 US gallons.
Does the slant height affect an oblique cylinder's volume?↓
By Cavalieri's Principle, an oblique cylinder (tilted sideways) with the same perpendicular height h and base radius r has the exact same volume as a right circular cylinder: V = πr²h. Only the perpendicular vertical height matters, not the slant length.

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