📦 3D Geometry🌍 Metric & Imperial💧 Litres & Gallons

Volume Calculator

Calculate volume of any 3D shape with automatic metric/imperial and litre/gallon conversions.

QUICK ANSWER

Key formulas: Sphere = (4/3)πr³  ·  Cylinder = πr²h  ·  Cone = (1/3)πr²h  ·  Cube = s³. Conversions: 1 m³ = 1,000 L; 1 US gal = 3.785 L; 1 UK gal = 4.546 L.

V = (4/3)πr³

Volume Units by Country

Country Volume unit Liquid volume Fuel economy
🇺🇸 USA in³ / ft³ US fl oz / US gal miles per US gallon
🇬🇧 UK cm³ / m³ fl oz / UK gal miles per UK gallon
🇨🇦 Canada cm³ / m³ litres (L) L/100 km
🇦🇺 Australia cm³ / m³ mL / L L/100 km
🇩🇪 Germany cm³ / m³ mL / L L/100 km
🇯🇵 Japan cm³ / m³ mL / L km/L or L/100 km

Note: A US gallon (3.785 L) ≠ UK gallon (4.546 L). US mpg and UK mpg are not interchangeable — UK mpg appears ~20% better.

Frequently Asked Questions

How do you calculate the volume of a sphere?

V = (4/3)πr³. For r = 5 cm: V = (4/3) × π × 125 ≈ 523.6 cm³ = 523.6 mL ≈ 0.524 litres.

What is the difference between US and UK gallons?

US gallon = 3.785 litres; UK (imperial) gallon = 4.546 litres. The UK gallon is 20% larger. This is why UK fuel economy figures (mpg) look better than US figures even for the same car.

How many cm³ are in a litre?

1 litre = 1,000 cm³ = 1,000 mL. This exact relationship is the basis of the metric system. A 1 L water bottle has the same volume as a 10 cm × 10 cm × 10 cm cube.

How is volume taught differently around the world?

In the US, cubic inches and fluid ounces are taught alongside metric. In the UK, metric (cm³, litres) is primary but pints still appear in everyday use. Japan and most of Europe use metric exclusively. India uses a mix of metric and traditional units (like lakh litres in irrigation).

Related Calculators