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Mathematics
Problem
A right circular cylinder is to contain a fixed volume
V
V
V
. Let
r
r
r
be the radius and
h
h
h
the height of the cylinder. Which of the following relationships between
h
h
h
and
r
r
r
minimizes the total surface area of the cylinder? a)
h
=
r
h=r
h
=
r
b)
h
=
r
2
h=\dfrac{r}{2}
h
=
2
r
c)
h
=
2
r
h=2r
h
=
2
r
d)
h
=
3
r
h=3r
h
=
3
r
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