SOLUTION: A right circular cylinder of radius r and height h has volume given by V=Ï€r^2h and surface area given by A=2Ï€r^2+2Ï€rh. A manufacturer must design a cylindrical can that can hold
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Question 1167048: A right circular cylinder of radius r and height h has volume given by V=Ï€r^2h and surface area given by A=2Ï€r^2+2Ï€rh. A manufacturer must design a cylindrical can that can hold 800Ï€ cubic cm of liquid. Express the amount of matrial needed to make the can as a function of its radius, r.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A right circular cylinder of radius r and height h has volume given by V=Ï€r^2h and surface area given by A=2Ï€r^2+2Ï€rh.
A manufacturer must design a cylindrical can that can hold 800Ï€ cubic cm of liquid.
Express the amount of material needed to make the can as a function of its radius, r.
:
Volume
divide both sides by pi
:
Area
replace h with
Cancel r
simplify
amt of material as a function of r
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