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Mathematics
Problem
A right circular cylinder has fixed volume
500
π
cm
3
500\pi\,\text{cm}^{3}
500
π
cm
3
. Let
r
r
r
(in centimeters) denote the radius of its base. For which value of
r
r
r
is the surface-area-to-volume ratio of the cylinder minimized? a)
9.4
9.4
9.4
b)
7.9
7.9
7.9
c)
6.3
6.3
6.3
d)
5.0
5.0
5.0
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