SOLUTION: The radius of a spherical balloon is increasing at a rate of 2 cm/sec. At whar rate is the air being blown into the balloon when the radius is 12 cm. Thank you so much!!

Algebra ->  Surface-area -> SOLUTION: The radius of a spherical balloon is increasing at a rate of 2 cm/sec. At whar rate is the air being blown into the balloon when the radius is 12 cm. Thank you so much!!      Log On


   

Question 826568: The radius of a spherical balloon is increasing at a rate of 2 cm/sec. At whar rate is the air being blown into the balloon when the radius is 12 cm.
Thank you so much!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of a spherical balloon is increasing at a rate of 2 cm/sec. At whar rate is the air being blown into the balloon when the radius is 12 cm.
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Neglecting changes in pressure:
V+=+4pi%2Ar%5E3%2F3
dV%2Fdt+=+4pi%2Ar%5E2%2A%28dr%2Fdt%29+=+4pi%2Ar%5E2%2A2
dV%2Fdt+=+1152pi cc/sec
=~ 3.62 liters/second