Right Circular Cone Calculator
Calculator and formulas for calculating a right circular cone
On this page you can calculate volume, surface area, slant length and other properties of a straight circular cone.
To calculate the cone, enter the radius of the base and the height, then click the 'Calculate button'
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Formulas for calculating cones
Base radius (\(\small{r}\))
\(\displaystyle r=\sqrt{\frac{A}{ π}}\)
Base perimeter (\(\small{P}\))
\(\displaystyle P=2· r ·π\)
Height (\(\small{h}\))
\(\displaystyle h=\sqrt{L^2-r^2}\) \(\displaystyle \ \ \ =\frac{3·V}{A}\)
Slant length (\(\small{L}\))
\(\displaystyle L=\sqrt{h^2+r^2}\)
Lateral surface (\(\small{S_L}\))
\(\displaystyle S_L=\frac{d·π·L}{2}\) \(\displaystyle =\frac{P· L}{2}\)
Base area (\(\small{A}\))
\(\displaystyle A= r^2·π\)
Surface (\(\small{S}\))
\(\displaystyle S=S_L+A\)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{A·h}{3}\) \(\displaystyle \ \ \ =\frac{r^2· π· h}{3}\)
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