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Mathematics
Problem
A closed cylindrical can must contain
1000
cm
3
1000\text{ cm}^3
1000
cm
3
of liquid. The side material costs \
0.03
p
e
r
c
m
0.03 per cm
0.03
p
er
c
m
^{2}
,
a
n
d
t
h
e
t
o
p
a
n
d
b
o
t
t
o
m
m
a
t
e
r
i
a
l
c
o
s
t
s
, and the top and bottom material costs
,
an
d
t
h
e
t
o
p
an
d
b
o
tt
o
mma
t
er
ia
l
cos
t
s
0.06 per cm
2
^{2}
2
. Calculate, to the nearest tenth of a centimeter, the radius that minimizes the total cost of the material.
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