Volume of boxes, cylinders, spheres, and cones.
Free to use, no sign-up required. Volume of Shapes is one of 198 tools built into Xenition, alongside a chat that can use them for you.
Calculates the volume of a box, sphere, cylinder or cone, for jobs like sizing a tank, a planter or a concrete pour.
Box = length × width × height. Sphere = 4/3 × π × r³. Cylinder = π × r² × h. Cone = 1/3 × π × r² × h. Volumes show up to four decimal places.
A cylinder with a radius of 3 and a height of 10 holds π × 9 × 10 = 282.7433 cubic units. A cone of the same size holds a third of that, 94.2478. A sphere of radius 3 is 113.0973.
Measure in centimetres and divide the cubic centimetres by 1,000. A cylinder 30 cm across and 40 cm tall has a radius of 15, so it holds π × 225 × 40 ≈ 28,274 cm³, about 28.3 litres.
A cone narrows steadily to a point, and adding up its circular slices gives exactly a third of the cylinder with the same base and height.
You do not have to open Volume of Shapes to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.