Minimizing the surface area of the standard prototype kilogram-module 1 example 2. My answer/method for height varies from the text. I found the r=1.95, plugged that value into the equation for volume and solved for h. The result is h=3.88. I can see how they rearranged the equation to get h/2=r and if you plug in r in that equation the answer is 3.90- method used in the text. My question is, are one of these answers more accurate than the other? Rearranging the equations to find h/2=r seems like a lot of unnecessary algebra and I wouldn't have thought to do that on my own.

Question

anonymous · Answer

I think that, considering incertitude, using (r=h/2) would be more accurate.
that way, the same incertitude in r will be 1/2 in h.
If you calculate each one apart it'll be twice.

I'm not sure. That's what i had in mind.

anonymous · Answer

have*