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Mathematics
Problem
A right circular cylinder has fixed volume
500
cm
3
500\text{ cm}^3
500
cm
3
. The radius
r
r
r
of the base is increasing at
0.20
cm/s
0.20\text{ cm/s}
0.20
cm/s
. What is the instantaneous rate of change of the height
h
h
h
when the radius is
3.0
cm
3.0\text{ cm}
3.0
cm
? a)
2.4
cm/s
2.4\text{ cm/s}
2.4
cm/s
b)
−
1.2
cm/s
-1.2\text{ cm/s}
−
1.2
cm/s
c)
−
2.4
cm/s
-2.4\text{ cm/s}
−
2.4
cm/s
d)
−
0.24
cm/s
-0.24\text{ cm/s}
−
0.24
cm/s
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