Question

Derivatives question:

Answer 1

I have a baloon of He. It has a r=2m. Then r increases by 1cm. How is the change in volume?

Answer 2

What's stopping you from simply comparing the results?

\(\dfrac{4}{3}\pi\;2^{3}\;vs.\;\dfrac{4}{3}\pi\;3^{3}\)

Answer 3

I was wondering the same...

Answer 4

except the second radius won't be 3m...

Answer 5

Oh...I was going to do derivatives...ok..got 40 as answer, thanks :)

Answer 6

0.4

Answer 7

As a new question, it ask to do the method of diferentiation

Answer 8

So now I take the derivative and get a different answer...by a little...why?

Answer 9

differentials give a linear approximation of the change

Answer 10

what did you get for the second answer?