Solid · Round solids
Cone
A circular base and a curved side narrowing to a point above its centre.
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Dimensions
Results
volume V
slant height l
surface area S
Formulas
A pyramid with a circular base: one third of the cylinder. The side unrolls into a sector of radius l and arc 2πr, area πrl.
Checked: the V, S formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.
Topology lens
Topologically a ball: its surface can be stretched onto a sphere without tearing, so its Euler characteristic is 2. More on the lens.