Cone Calculator
Volume
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Surface Area
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Lateral Area
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Slant Height
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Cone Formulas
V = (1/3)*pi*r^2*h. Slant height l = sqrt(r^2+h^2). Lateral area = pi*r*l. Total SA = pi*r*l + pi*r^2.
A cone is 1/3 the volume of a cylinder with the same base and height. Proven by Archimedes.
Frustums (truncated cones) are formed by cutting with a plane parallel to the base. Buckets and cups are frustums.
Frequently Asked Questions
Cone volume?
V = (1/3)*pi*r^2*h. One-third of equivalent cylinder.
Slant height?
l = sqrt(r^2+h^2). Pythagorean theorem with radius and height.
Lateral surface area?
A = pi*r*l. Unrolled, it forms a circular sector.
What is a frustum?
Cone with top cut off. V = (pi*h/3)*(R^2+Rr+r^2).