Pointed Pillar Calculator

Calculator and formulas for calculating a pointed pillar

Calculate a pointed pillar


This function calculates various properties of a pointed pillar. To perform the calculation, enter the two radii and the height of the truncated cone and the cone. Then click on the 'Calculate' button.


Pointed Pillar Calculator

 Input
Base radius a
Transition radius b
Pillar base height i
Cone height j
Decimal places
 Results
Base area A
Lateral area L
Surface area S
Volume V
Pointed-Pillar

Pointed pillar formulas

Base area
\(\displaystyle A = a^2·π \)

Lateral area

\(\displaystyle L= \left[(a + b) · \sqrt{(a - b)^2 + i^2} + b · \sqrt{j^2 + b^2} \right] · π \)

Surface area
\(\displaystyle S = A+L \)

Volume

\(\displaystyle V=\frac{π}{3} · \left[ i · (a^2 + ab + b^2 ) + b^2 · j \right] \)

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