SOLUTION: A spherical balloon is being inflated. Estimate the rate at which its surface area is changing with respect to the radius when the radius measures 20 cm.
Answer: 160pi cm^2/cm
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Question 160801: A spherical balloon is being inflated. Estimate the rate at which its surface area is changing with respect to the radius when the radius measures 20 cm.
Answer: 160pi cm^2/cm
How do I get it though?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You're looking for the rate of change of SA with respect to R.
That's the same as the derivative.
Take a small step in R, calculate the SA, subtract the original SA, and divide by the small step.
Assume that is small, then is even smaller (=0)
.
.
.
That's the hard way to find the derivative of SA with respect to R.
You can also differentiate.
So when R=20
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