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Question Number 141368 by bemath last updated on 18/May/21
Aclosedcylindricalcanbeistohold1litersofliquid.Howshouldwechoosetheheightandradiustominimizetheamountofmaterialneededtomanufacturethecan?
Answered by TheSupreme last updated on 18/May/21
youhavetominimizeS=2πR2+πRHundertheconstrainV=πR2H=1ltH=VπR2S=2πR2+VRmin(S)∂S∂R=4πR−VR2=0→R=3V4πR=4.30cmH=17.21cm
Commented by iloveisrael last updated on 18/May/21
r≈5.4cm
Answered by iloveisrael last updated on 18/May/21
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