11) Air is being blown into a spherical ballon at the rate of 1.15 in^3/s. Deter
ID: 2843932 • Letter: 1
Question
11) Air is being blown into a spherical ballon at the rate of 1.15 in^3/s. Determine the rate at which the radius of the balloon is increasing when the radius is 4.70 in. Assume that pi = 3.14
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Explanation / Answer
11. dV/dt = 1.15in^3/s
r=4.7 in
For spherical volume,
V=4/3 pir^3
Derivating whole equation with rspect to time
dV/dt = 4pir^2 dr/dt
on plug in values,
1.15 = 4*3.14*(4.7)^2 dr/dt
dr/dt = 0.004 in/sec
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