Find the radius and height of a container if it has a capacity of 28 in.3

Calculus
Tutor: None Selected Time limit: 1 Day

Jul 17th, 2015

Thank you for the opportunity to help you with your question!

If radius is r and height is h, we have V= pir^2h = 28

Material M = 2pir^2+2pirh

Or, M = 2pir^2+2pir*(28/pir^2) =2pir^2+56/r

dM/dr = 4pir-56/r^2 = 0

Or, r^3 = 56/4pi =14/pi

or, r =(14/pi)^(1/3) = 1.65 inch

height h = 28/(pi*1.65^2) = 3.30 inch

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

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