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Mathematics
Problem
Air is pumped into a spherical balloon so that its radius increases at a constant rate of 0.05 m/s. At what radius is the surface area of the balloon increasing at 0.4
π
\pi
π
m
2
^2
2
/s? a)
1.414
m
1.414\text{ m}
1.414
m
b)
1.0
m
1.0\text{ m}
1.0
m
c)
0.80
m
0.80\text{ m}
0.80
m
d)
2.0
m
2.0\text{ m}
2.0
m
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