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Cone volume calculator

Compute the volume, surface area and slant height of a cone, drawn to scale.

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Cone surface area calculatorCompute the total surface area and slant height of a cone from its radius and height.Cylinder volume calculatorCompute the volume and surface area of a cylinder from its radius and height.Pyramid volume calculatorCompute the volume of a square-based pyramid from its base and height.Sphere volume calculatorCompute the volume and surface area of a sphere from its radius.Triangular prism volume calculatorCompute the volume of a triangular prism from its base, height and length.Volume calculatorCompute the volume of a box, cube, sphere, cylinder or cone.Aquarium volume calculatorCompute the water volume of a rectangular aquarium in litres and gallons.Volume of an ellipsoid calculatorThe volume of an ellipsoid from its three semi-axes: V = 4⁄3·π·a·b·c. It also reports the surface area (Thomsen's approximation) — set all three axes equal and it becomes a sphere. Useful for eggs, tanks, planets and any squashed sphere.

Need Volume, Total surface, Slant height? The Cone volume calculator derives it from Base radius, Height in one step. For instance, with Base radius = 5 and Height = 10 it returns Volume = 261.799, Total surface = 254.16 and Slant height = 11.18.

How to use it

  1. Enter your values: Base radius, Height.
  2. Read the result instantly: Volume, Total surface, Slant height.

Frequently asked questions

What does the Cone volume calculator actually compute?

It takes Base radius and Height and derives Volume, Total surface and Slant height from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

2 values: Base radius and Height. Nothing else is required — no account, no file upload.

Can you show a worked example?

With Base radius = 5 and Height = 10, the calculator returns Volume = 261.799, Total surface = 254.16 and Slant height = 11.18. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What happens if I enter larger values?

It moves a lot. Using Base radius = 10 and Height = 20 instead, Volume goes from 261.799 to 2,094 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Base radius = 3 and Height = 5, Volume comes out at 47.124. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.

What is the most common mistake?

Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.

What is the difference between the Cone volume calculator and the Cone surface area calculator?

This one returns Volume and Total surface; the Cone surface area calculator returns Total surface area. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Cylinder volume calculator is the closest one after this: Compute the volume and surface area of a cylinder from its radius and height.

What else is worth having open alongside it?

Pyramid volume calculator and Sphere volume calculator — they come up in the same task often enough to be worth a second tab.

Further reading

All guides →
How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.How-toCircle: Circumference and AreaCircumference is 2πr, area is πr². Here's how radius, diameter and π fit together, both formulas worked through, and how not to mix them up.How-toWhat Wattage of Heater Does an Aquarium Need? Volume Is Only Half the AnswerThe same tank needs a 100 W heater in a warm flat and 300 W in an unheated room. The variable is the gap between the water and the room, which most rules of thumb drop entirely. Plus why two smaller heaters beat one big one, and where this calculator's recommendation stops being trustworthy.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.How-toHow Much Substrate Does an Aquarium Need? Depth, Weight and Grain SizeThe depth follows the job: a bare display, a planted tank whose roots need room, an under-gravel plate. Then comes the number people are unprepared for — substrate is what puts a filled tank past what a piece of furniture can hold. Plus why fine sand compacts and coarse gravel traps waste.ExplainerHow Many Fish Can a Tank Hold? The Inch-per-Gallon Rule Is WrongEvery stocking calculator implements a length-per-volume rule, and waste output scales with body mass, not length. A fish twice as long makes nearly five times the ammonia. Run through the tool's five methods, the same tank comes back holding anywhere from 6 to 12 fish.