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halfcylindrical

Halfcylindrical is an adjective describing a solid or surface formed by cutting a right circular cylinder along a plane that contains the cylinder’s axis, producing a semi-cylindrical shape. This cut yields a three-dimensional object that preserves half of the original curved surface while exposing a rectangular face along the cut and leaving semicircular end faces.

Geometric description: The half-cylinder has radius r and length (along the axis) h. Its boundary consists of

Formulas: The volume of a half-cylinder is half the volume of a full cylinder, namely V = (1/2)

Applications and notes: Halfcylindrical shapes appear in architecture, mechanical design, and acoustics, where a semi-cylindrical profile

See also cylinder, semi-cylinder.

a
semi-cylindrical
curved
surface,
a
single
rectangular
face
of
dimensions
2r
by
h
along
the
cut,
and
two
semicircular
end
faces
of
radius
r.
π
r^2
h.
The
curved
surface
area
accounts
for
half
of
the
full
cylinder’s
lateral
area,
giving
π
r
h.
The
end
faces
contribute
π
r^2
in
total
(two
semicircles).
The
rectangular
cut
face
adds
2
r
h
to
the
surface
area.
Therefore
the
total
surface
area
is
SA
=
π
r
h
+
2
r
h
+
π
r^2.
is
desired
for
structural
or
aesthetic
reasons.
In
mathematics,
half-cylinders
are
used
to
illustrate
concepts
of
volume
and
surface
area
and
to
compare
properties
with
full
cylinders.