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1. The problem statement, all variables and given/known data

Juan measures the circumference C of a spherical ball at 40cm and computes the ball's volume V. Estimate the maximum possible error in V if the error in C is as most 2cm. Recall that C=2(pi)r and V=(4/3)pi(r)

2. Relevant equations

deltaf - f'(a)h, a= 40, V=(4/3)pi(C/2pi)^3

3. The attempt at a solution

im not sure exactly how to compute to find the final answer but i believe that a = 40cm + or - 2cm and that somehow solving for r using circumference and then plugging it into the volume equation. if you can point me in the right direction i would appreciate it, thanks.

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# Homework Help: Linear approximation and errors

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