Elliptic Paraboloid
Elliptic paraboloid (a three-dimensional figure) has a u-shaped curve with an elliptical end.
Height of a Elliptic Paraboloid formula
\(\large{ h = p \; a^2 }\) |
Where:
\(\large{ h }\) = height
\(\large{ a }\) = length semi-minor axis
\(\large{ p }\) = shape parameter
Lateral Area of a Elliptic Paraboloid formula
\(\large{ L = \frac{\pi \; a}{ \left(6\;h^2 \right) \; \left[ \left(a^2 \;+\; 4\;h^2 \right) ^{\frac{3}{2} } \; a^3 \right] } }\) |
Where:
\(\large{ L }\) = lateral surface
\(\large{ h }\) = height
\(\large{ a }\) = length semi-minor axis
\(\large{ \pi }\) = Pi
Surface Area with Base of a Elliptic Paraboloid formula
\(\large{ S = L + \pi \; a^2 }\) |
Where:
\(\large{ S }\) = surface area
\(\large{ L }\) = lateral surface
\(\large{ a }\) = length semi-minor axis
\(\large{ \pi }\) = Pi
Volume of a Elliptic Paraboloid formula
\(\large{ V= \frac{1}{2} \; \pi \; a^2 \;h }\) |
Where:
\(\large{ V }\) = volume
\(\large{ h }\) = height
\(\large{ a }\) = length semi-minor axis
\(\large{ \pi }\) = Pi
Tags: Equations for Volume