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Volume of a Sphere with a Partial Cut

TOP/Collection of Mathematical Formulas/Volume and Surface Area
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Calculate the volume and surface area of a sphere with a portion cut off.
Radius of the sphere r
Height h
Radius of the base circle c 
Volume V 
Surface Area S Excluding the base
Base Area B 
\(\normalsize Partial\ sphere\\ (1)\ radius\ of\ bottom:\ c=\sqrt{h(2r-h)}\\ (2)\ volume:\hspace{50px} V={\large\frac{\pi}{6}}h(3c^2+h^2)\\ (3)\ surface\ area:\hspace{10px} S=\pi(c^2+h^2)=2\pi rh\\ \hspace{210px}exclude\ B\\ (4)\ base\ area:\hspace{35px} B=\pi c^2\\\)

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