What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 125 #cm^3#?
1 Answer
Radius of can =
Explanation:
In answering this question it is assumed that the material from which the can is made has a uniform density and thickness , since the ' mass' of the can would depend both on the density and volume of the material from which it is made.
Volume of can= volume of cylinder=
Surface area of can =
From ......
Area=
Differentiating ....
solving this for
Substituting this value for
The second derivative