Volume of a Cylinder with a Portion Removed
Calculate the volume, lateral surface area, base area, and top surface area of a truncated horizontal cylinder using its radius and height.

| Volume V | |
| Lateral Surface Area F | |
| Base Area S | |
| Top Surface Area T |
| \(\normalsize Cylinder\\ (1)\ lateral\ area:\ F={\large\frac{\theta}{2}}r^{2}-(r-h)\sqrt{h(2r-h)}\\ \hspace{132px} \theta=2\cos^{\tiny-1}(1-{\large\frac{h}{r}})\\ (2)\ volume:\hspace{45px} V=Fl\\ (3)\ bottom\ area:\hspace{10px} S=r\theta l\\ (4)\ top\ area:\hspace{38px} T=2l\sqrt{h(2r-h)}\\\) |
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