Find a function that models surface area of a cylinder in terms of its height . The volume of a cylinder is 300 cm^3 .

Question

I know the volume of a cylinder is v= 3.14•r^2•h and Surface area is 2•3.14•r^2+2 •3.14•r•h. I found that r^2 = 300\ 3.14h what do I do from there?

Answer 1

You got r = √(300/πh)
Thus, the area is
2πr^2 + 2πrh = 2πr(r+h) = 2π√(300/πh)(√(300/πh)+h)