Volume Formula:The formula for calculating the volume (amount) of liquid in a cylindrical tank is V = πr^2h, where r represents the radius and h represents the height.
Surface Area Formula: The surface area formula for a cylindrical tank is A = 2πrh + 2πr^2, where r represents the radius and h represents the height. This formula helps us determine the amount of material needed to construct the tank.
Optimization:Optimization involves finding the maximum or minimum value of a quantity within a given set of constraints. In relation to cylindrical tanks, optimization problems could involve finding the dimensions that minimize cost or maximize capacity.