Volume by Water Displacement

What this tool does

There is no formula for the volume of a stone. There is, however, a measurement: drop it in water and see how much the level rises. The volume of the object equals the volume of water pushed aside, which is the container's cross-section times the rise. Weigh the object too and you get its density, and from that whether it would float — a density above 1 g/cm³ sinks in water.

Formula

V = π (d ÷ 2)² × (level after − level before) · density = mass ÷ V

Variables

Worked example

Limitations

• Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.
• The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.