SOLUTION: A cylindrical petrol storage tank is to be constructed of metal on a concrete
base. Find the relation between the radius of the base and the height of a
tank so that the amount o
Algebra.Com
Question 875784: A cylindrical petrol storage tank is to be constructed of metal on a concrete
base. Find the relation between the radius of the base and the height of a
tank so that the amount of metal used is the least possible to hold a given
volume V0.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For a cylinder,
For the surface area of the tank (amount of metal used to make it),
From above,
Substituting,
To find the minimum amount of metal take the derivative of A and set it to zero,
From above,
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