Calc1 Optimization:
A soup can is to be made in the shape of a cylinder, where the surface area of the label (the rectangle) is to be 100cm^2. Find the dimensions of the cylinder so that its volume is maximized, with the restriction that the radius r is 0

Question

Calc1 Optimization:
A soup can is to be made in the shape of a cylinder, where the surface area of the label (the rectangle) is to be 100cm^2. Find the dimensions of the cylinder so that its volume is maximized, with the restriction that the radius r is 0<r<=100cm. (radius must be positive and less than/equal to 100cm)

ganeshie8 · Answer

how long were you able to proceed. did you get the equation V = 50r ?

anonymous · Answer

yes that;s how far I got

ganeshie8 · Answer

so V is increasing in (0, 100]

did you get the hint ?