Elliptic paraboloid (a three-dimensional figure) has a u-shaped curve with an elliptical end.
Height of a Elliptic Paraboloid formula |
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| \( h \;=\; p \cdot a^2 \) | ||
| 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 |
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| \( L \;=\; \dfrac{ \pi \cdot a }{ \left(6 \cdot h^2 \right) \cdot \left[ \left(a^2 + 4 \cdot h^2 \right) ^{\frac{3}{2} } \cdot a^3 \right] } \) | ||
| Symbol | English | Metric |
| \( L \) = lateral surface area | \( in^2 \) | \( mm^2 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( a \) = length semi-minor axis | \( in \) | \( mm \) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
Surface Area with Base of a Elliptic Paraboloid formula |
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| \(S \;=\; L + \pi \cdot a^2 \) | ||
| 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 | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
Volume of a Elliptic Paraboloid formula |
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| \( V \;=\; \dfrac{1}{2} \cdot \pi \cdot a^2 \cdot h \) | ||
| Symbol | English | Metric |
| \( V \) = volume | \( in^3 \) | \( mm^3 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( a \) = length semi-minor axis | \( in \) | \( mm \) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
