Elliptic Paraboloid

• Elliptic paraboloid (a three-dimensional figure) has a u-shaped curve with an elliptical end.

Elliptic Paraboloid Index

• Height of a Elliptic Paraboloid
• Lateral Area of a Elliptic Paraboloid
• Surface Area with Base of a Elliptic Paraboloid
• Volume of a Elliptic Paraboloid

 

Height of a Elliptic Paraboloid formula
\( h = p \; a^2  \)
Symbol	English	Metric
\( h \) = height	\( in \)	\( mm \)
\( a \) = length semi-minor axis	\( in \)	\( mm \)
\( p \) = shape parameter	\( in \)	\( mm \)

 

Lateral Area of a Elliptic Paraboloid formula
\( L =  \pi \; a  \;/\;  \left(6\;h^2  \right) \; \left[  \left(a^2 \;+\; 4\;h^2 \right) ^{\frac{3}{2} } \; a^3  \right]     \)
Symbol	English	Metric
\( L \) = lateral surface area	\( in^2 \)	\( mm^2 \)
\( h \) = height	\( in \)	\( mm \)
\( a \) = length semi-minor axis	\( in \)	\( mm \)
\( \pi \) = Pi	\(3.141 592 653 ...\)

 

Surface Area with Base of a Elliptic Paraboloid formula
\(S =  L + \pi \; a^2  \)
Symbol	English	Metric
\( S \) = surface area	\( in^2 \)	\( mm^2 \)
\( L \) = lateral surface area	\( in^2 \)	\( mm^2 \)
\( a \) = length semi-minor axis	\( in \)	\( mm \)
\( \pi \) = Pi	\(3.141 592 653 ...\)

 

Volume of a Elliptic Paraboloid formula
\( V = \frac{1}{2} \; \pi \; a^2 \;h   \)
Symbol	English	Metric
\( V \) = volume	\( in^3 \)	\( mm^3 \)
\( h \) = height	\( in \)	\( mm \)
\( a \) = length semi-minor axis	\( in \)	\( mm \)
\( \pi \) = Pi	\(3.141 592 653 ...\)