Cone Calculator

Volume equals one third times pi times the radius squared times the height: V = (1/3) * pi * r^2 * h. A cone holds exactly one third of the volume of a cylinder with the same base and height.

The slant height l is the straight-line distance from the base edge to the apex. For a right circular cone it follows from the Pythagorean theorem: l = sqrt(r^2 + h^2), where r is the base radius and h is the perpendicular height.

Lateral surface area covers only the curved side of the cone and equals pi * r * l. Total surface area adds the circular base, so it equals pi * r^2 + pi * r * l. Use lateral area for an open cone like a party hat, and total area when the base is closed.

Enter the base radius r and the perpendicular height h, both as positive numbers in the same unit. The calculator returns volume, slant height, base area, lateral surface area, total surface area, diameter, and base circumference.

Yes. The math is unit-agnostic, so you can enter inches, centimeters, meters, or feet. Volume is reported in the cubed unit and areas in the squared unit. Just keep radius and height in the same unit, and convert before entering if they differ.