Derivative application question please answer in full detail! A spherical balloon is being inflated. a. Find the rate of change of the volume when the radius is 1/2 cm and changing at a rate of 2 cm/min. I did this first part with no difficulty and my answer was 6.3 cubic cm/min. I am having trouble with the second part which is... If the volume of the balloon is increasing at a rate of 10 cm3 /min, how fast is the diameter increasing when the radius is 3 cm?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Derivative application question please answer in full detail!

A spherical balloon is being inflated.
a. Find the rate of change of the volume when the radius is 1/2 cm and changing at a rate of 2 cm/min.

I did this first part with no difficulty and my answer was 6.3 cubic cm/min. I am having trouble with the second part which is...

If the volume of the balloon is increasing at a rate of 10 cm3 /min, how fast is the
diameter increasing when the radius is 3 cm?

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