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 (π
r2) × height (
h), or
V = πr2h
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 2π
r ×
h
Area both circular ends = 2 × π
r2
So
A = 2π
r2 + 2π
rh
and by factorizing:
A = 2πr(h + r)
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