# Volume of a partial hemisphere

## Calculates the volume and surface area of a partial hemisphere given the radius and height.

radius of sphere r
height h
 h≦r

volume V
lateral area F
surface area S
 all faces
radius of upper c
upper area U
bottom area B

 $\normal Partial\ hemisphere\\(1)\ volume:\hspace{63} V={\large\frac{1}{3}}\pi h(3r^2-h^2)\\\vspace{2}(2)\ lateral\ area:\hspace{23} F=2\pi hr\\\vspace{5}(3)\ surface\ area:\hspace{20} S=F+\pi(2r^2-h^2)\\\vspace{5}(4)\ radius\ of\ upper\ circle:\hspace{10} c=\sqrt{r^2-h^2}\\\vspace{5}(5)\ upper\ area:\hspace{33} U=\pi(r^2-h^2)\\$

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