yCalculator

Volume Calculator

Last updated: April 2026

Choose a 3D shape

Select a solid to show the matching volume formula and dimensions.

Dimensions

Cylinderradius r, height h

Volume

785.3982 cm³

V = pi x r^2 x h

Surface area

471.2389 cm²

SA = 2pi r(r+h)

Practical conversions

cm³

785.3982

litres

0.7854

millilitres

785.3982

0.0008

Step-by-step working

Formula: V = pi x r^2 x h

Substitution: V = pi x 5^2 x 10

  1. r^2 = 5^2 = 25
  2. pi x 25 = 78.5398
  3. 78.5398 x 10 = 785.3982 cm^3
  4. In litres: 785.3982 cm^3 converted from cm^3 = 0.7854 L

Also need surface area?

Surface Area Calculator

Volume vs capacity

Volume measures the space inside a 3D shape. Capacity is the amount a container can hold, often shown in litres or millilitres.

Common volume formulas

Prisms multiply base area by height. Pyramids and cones use one third of the matching prism or cylinder. Spheres and curved solids use radius-based formulas with pi.

Real-world volume examples

Volume calculations help size tanks, pools, boxes, concrete pours, storage containers, packaging, and any project where space or capacity matters.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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