- #1
Michael Santos
- 29
- 3
Homework Statement
Your blowing up a balloon at a rate of 300 cubic inches per minute. When the balloon's radius is 3 inches, how fast is the radius increasing?
Homework Equations
The Attempt at a Solution
I know the answer to this question. It is approximately 2.65 inches per minute, what my question is; the area is 113.0973355 when the radius equals 3. when 300 and 2.65 are divided by 60 sec you find that the area is increasing at 5 inches per sec and the radius is increasing at 0.04416666667 per sec, tho when you input 3.04416666667 in the formula for a sphere the area comes out to be 118.1663682 just over 5 inches, what is this unknown factor that participates in the growth of the area or is this a physics problem, this continues to happen if you divide even further. It is the same thing for when you increase the radius of 3 by 2.65 and find the area which says it would be 300 cubic inches wider as the area increases at 300 cubic inches per minute but it is not.
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