SOLUTION: A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 60 centim

Algebra ->  Trigonometry-basics -> SOLUTION: A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 60 centim      Log On


   

Question 1186789: A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.
(a) How fast is the radius of the balloon changing at the instant the radius is 60 centimeters?
(b) How fast is the radius of the balloon changing at the instant the radius is 90 centimeters?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.
(a) How fast is the radius of the balloon changing at the instant the radius is 60 centimeters?
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V+=+4%2Api%2Ar%5E3%2F3
dV%2Fdt+=+4%2Api%2Ar%5E2%2A%28dr%2Fdt%29+=+900
dr%2Fdt+=+900%2F%284%2Api%2Ar%5E2%29
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(b) How fast is the radius of the balloon changing at the instant the radius is 90 centimeters?
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Same as (a), different numbers