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Solve a dimension calculator
Work backwards: enter the volume you need plus one dimension, and solve for the missing height, radius or diameter.
Sometimes you know the volume you need and have to find a dimension to match — the height of a tank to hold so many litres, say. This solve a dimension calculator rearranges V = π r² h for you and solves for the height, radius or diameter.
How the calculation works
- Choose which dimension you need — height, radius or diameter.
- Enter the target volume you want the cylinder to hold.
- Enter the one dimension you already know.
- The tool rearranges V = π r² h and solves for the rest.
Worked example. Take a cylinder with a diameter of 10 cm (so a radius of 5 cm) and a height of 25 cm. The base area is π × 5² = 78.54 cm², and multiplying by the height gives a volume of about 1.96 litres (1,963 cm³ · 0.52 US gallons).
For anything that holds liquid, measure the inside of the cylinder — the wall takes up space that the contents cannot.
Every solve a dimension page
Each page below targets a specific question and opens with the calculator ready to go:
Good to know
How do I find the height of a cylinder from its volume?
h = V ÷ (π r²). Enter the target volume and the radius above, and the height is solved for you.How do I find the radius from volume and height?
r = √(V ÷ (π h)). The tool can also return the diameter, which is simply twice the radius.