What Is a Cone Calculator?

A cone calculator computes the key dimensions of a right circular cone from its radius and height: volume, slant height, and the lateral, base, and total surface areas. Instead of juggling π and square roots by hand, you enter two numbers and get the complete geometric profile of the cone — whether it is an ice-cream cone, a traffic cone, or a tapered hopper.

The Formulas Behind the Results

Volume: V = πr²h/3 — one-third of the enclosing cylinder. Slant height: l = √(r² + h²) — the hypotenuse of the right triangle made by the radius and height. Lateral surface area: A = πrl, the area of the unrolled sector. Base area: A = πr². Total surface area: the sum of the lateral and base areas.

Reading Your Results

The primary result card shows the volume — the amount the cone can hold. The three-stat bar gives the slant height and the two area totals at a glance. The breakdown table lists every dimension, and the donut chart shows how the total surface area splits between the curved lateral surface and the flat base, with both percentages summing to 100%.

Practical Uses

Bakers and caterers estimate the capacity of cone-shaped molds and pastry horns; event planners size traffic cones and bases; builders calculate material for cone-shaped roofs and silo caps. In manufacturing, the same formulas determine the sheet-metal layout for a funnel or the volume of a cone-bottomed tank. Wherever a cone appears, these four numbers describe it completely.