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Circular & Cylinder Cubic Metre Calculator

Accurately model volume in cubic metres (m³) and litres (L) for cylindrical geometry including round water reservoirs, helical spiral columns, circular concrete bases, and circular trenches.

Cylinder & Circular Area Volume Modeling

Real-time volumetric & tonnage modeling (SABS & ISO Metric SI compliant)

Standard residential concrete slabs are typically 100 mm to 150 mm thick.

2.40 t/m³ (2,400 kg/m³)
+10%
0% (Exact void)+5%+10% (Recommended)+15%+25% (Excavation)
Gross Volume (Order Quantity)Live Calc
8.250m³

Includes +10% waste over net physical volume.

Net Physical Void7.500m³
Total Liquid Volume8,250L
Total Weight (t)19.80tonnes
Ready-Mix Deliveries~1.4trucks (6m³)
Imperial EquivalentsUS Customary
Cubic Yards: 10.79 yd³
Cubic Feet: 291.35 ft³
Mathematical Derivation & Proof
SI Metric Model

Formula: V_net = Length × Width × Depth

V_net = 10.000 m × 5.000 m × 0.150 m = 7.500 m³

1. Normalizing inputs to metres: L = 10.000 m, W = 5.000 m, D = 0.150 m
2. Net volume: 10.000 × 5.000 × 0.150 = 7.500 m³
3. Factoring +10% waste allowance: 7.500 × 1.10 = 8.250 m³
4. Total mass @ 2.40 t/m³ (Concrete): 8.250 × 2.40 = 19.80 tonnes
5. Standard 6 m³ truckloads: 8.250 / 6 = ~1.4 loads (order 2 trucks)

Mathematical Model for Cylinders & Circular Slabs

The engineering mathematics behind volumetric measurement, compaction allowances, and ready-mix batching.

01

Normalize to Metres (m)

Slab thickness and trench depths are commonly specified in millimetres (e.g., 150 mm) or centimetres (15 cm). Convert all dimensions to metres before multiplying:

Depth (m) = mm ÷ 1,000
150 mm ÷ 1,000 = 0.150 m
02

Solve Net Volume (m³)

Multiply length by width and depth to determine the net physical void space. For cylinders (round tanks, circular slabs), multiply base area ($\pi r^2$) by height:

V_net = L × W × D
10.0 m × 5.0 m × 0.15 m = 7.50 m³
03

Apply Compaction & Waste

Excavated subgrades settle, formwork flexes under hydraulic pressure, and pumps retain residual mix. Always factor 5% to 15% extra for realistic batching:

V_order = V_net × (1 + Waste %)
7.50 m³ × 1.10 (+10%) = 8.25 m³

Circular Volume & Tank FAQs

Common questions regarding metric cubic metre calculations, bulk densities, and material batching.

How do you calculate cubic metres for a circle?
A circle is a 2D shape with zero volume until depth is added (creating a cylinder). The cubic metre formula is: Volume = π × (Diameter ÷ 2)² × Depth. For a 3-metre diameter round pit 2 metres deep: 3.14159 × 1.5² × 2 = 14.14 m³.
How do you calculate concrete for a round pillar or column?
Measure pillar diameter in metres and height in metres. Divide diameter by 2 to get the radius, square it, multiply by π (3.14159), then multiply by pillar height. Add 10% for pump hopper waste.
How many litres are in a cylindrical round water tank?
Calculate cylinder volume in cubic metres (m³) and multiply by 1,000. A circular water tank with a 2.5 m diameter and 2.0 m height holds: 3.1416 × 1.25² × 2.0 = 9.817 m³ = 9,817 litres of water.