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Zylinder

A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. In mathematics, cylinders are defined as the surface formed by all points at a fixed distance from a given line segment, known as the axis. The most common type is the right circular cylinder, where the axis is perpendicular to the bases.

The volume of a cylinder is calculated using the formula V = πr²h, where r represents the radius

Cylinders appear frequently in everyday objects and engineering applications. Common examples include cans, pipes, batteries, and

In coordinate geometry, cylinders can be described using cylindrical coordinates, which extend polar coordinates into three

The term "cylinder" also refers to the movable piston chamber in reciprocating engines, where fuel combustion

Manufacturing processes often involve cylindrical components due to their ease of production using lathes and other

From architectural columns to storage tanks, cylinders serve both functional and aesthetic purposes in human construction.

of
the
circular
base
and
h
is
the
height
or
distance
between
the
two
bases.
The
surface
area
equals
2πr²
+
2πrh,
accounting
for
both
circular
ends
and
the
curved
lateral
surface.
engine
cylinders.
In
mechanics,
cylindrical
shapes
are
valued
for
their
structural
strength
and
ability
to
withstand
internal
pressure.
Hydraulic
and
pneumatic
systems
rely
on
cylindrical
chambers
to
contain
fluids
under
pressure.
dimensions.
This
system
proves
particularly
useful
when
dealing
with
problems
exhibiting
cylindrical
symmetry.
drives
mechanical
motion.
Automotive
engines
typically
contain
multiple
cylinders
arranged
in
various
configurations
such
as
inline,
V-shaped,
or
radial
patterns.
rotational
machining
tools.
The
symmetrical
properties
of
cylinders
make
them
ideal
for
rolling,
turning,
and
grinding
operations.
Their
mathematical
properties
have
been
studied
since
ancient
times,
with
early
civilizations
recognizing
their
practical
applications
in
containers
and
building
elements.