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Volume of an Elliptic Cylinder

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Calculate the volume, lateral surface area, and total surface area of an elliptic cylinder using its semi-major axis, semi-minor axis, and height.
Major axis radius a
Minor axis radius b
Height h
Volume V 
Lateral Area F 
Surface Area S 
\(\normalsize Elliptic\ Cylinder\\ (1)\ volume:\hspace{53px} V=\pi a b h\\ (2)\ lateral\ area:\hspace{15px} F=4 a h E( \sqrt{1-({\large\frac{b}{a}})^2} ) \\ \hspace{20px} E(k):\ 2nd\ complete\ elliptic\ integral \\ (3)\ surface\ area:\hspace{10px} S=F+2\pi a b \\\)

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