cylinder (geometry)
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Cylinder (geometry) 
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In geometry, a prism with a circular cross-section. In everyday use, the term applies to a right cylinder, in which the curved surface is perpendicular to the base.
As it is a prism, the volume (V) of a cylinder is area of cross-section (πr2) × height (h), or
where r is the radius of the base and h is the height of the cylinder.
Its total surface area (A) = the curved surface area + the area of both circular ends. To find the curved surface area, the hollow cylinder area should be imagined stretched flat to form a rectangle:
Curved surface area = circumference × h, or 2πr × h
Area both circular ends = 2 × πr2
So A = 2πr2 + 2πrh
and by factorizing:
© RM 2009. Helicon Publishing is division of RM.
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