Pointed Pillar Calculator
Calculator and formulas for calculating 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.
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Formulas for the pointed pillar
Base area (\(\small{A}\))
\(\displaystyle A = a^2·π \)
Lateral area (\(\small{L}\))
\(\displaystyle L= \left[(a + b) · \sqrt{(a - b)^2 + i^2} + b · \sqrt{j^2 + b^2} \right] · π \)
Surface area (\(\small{S}\))
\(\displaystyle S = A+L \)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{π}{3} · \left[ i · (a^2 + ab + b^2 ) + b^2 · j \right] \)