Cone Calculator
Enter a right circular cone's radius and height to compute its volume, lateral surface area, total surface area and slant height. Every result uses the exact formula and is displayed to your chosen precision.
Enter dimensions
Enter radius and height, then press Calculate.
Cone formulas
Slant height: l = √(r² + h²)
Base area: A_base = πr²
Lateral surface area: A_lat = πrl
Total surface area: A_total = πr² + πrl = πr(r + l)
Volume: V = (1/3)πr²h
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Frequently asked questions
The slant height is the distance from the apex (tip) of the cone to any point on the base circumference. It is the hypotenuse of the right triangle formed by the radius and the height, so l = √(r² + h²).
A cone with the same radius and height as a cylinder fills exactly one-third of the cylinder. This is a classical result provable by calculus (or by physical demonstration).