Cone Calculator

Find the volume, slant height, and surface areas of a cone. Enter the radius and height.

Volume
— cu units
One-third of the cylinder.

Usage Tip

Three cones of the same base and height exactly fill one cylinder — that is where the one-third comes from.

THE MATH
volume = (1 ÷ 3) × π × radius² × height
slant = √(radius² + height²)
A cone tapers from a circular base to a point. Its volume is exactly one-third of the cylinder with the same base and height.
The slant height is the distance from the base edge up to the tip.
Height is straight up the axis; slant height is along the surface.
Total surface area is the base plus the curved (lateral) area.
Volume is one-third of the matching cylinder.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.