Optimization of a cylinder

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casherr

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Feb 28, 2021
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Hi! I worked out my answer but when I double-check the volume with the dimensions I found for the cylinder, it doesn't give me the right volume 1729cm^3. I'm not sure how to fix this, any help would be greatly appreciated. The volume has to be 1729cm^3 and the dimensions i found are r = 6.5cm and h = 13.0cm
Here's my process: IMG_9964.jpg
 
Surely you are getting approximately 1729 with these values? 6.5 and 13 are only approximations.
If you want a volume exactly equal to 1729 you'll have to give:

1615074635489.png

instead of the approximate r=6.5 and h=13.
 
its pretty far from 1729, v = pi x (r^2) x h
= pi x 6.5^2 x 13
=1725.5 which is a whole 4 cm off!
I think i might just double check with my teacher to see if this is ok. I really appreciate you taking your time to help me, thanks a bunch!!
 
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