# Thread: cylinder volume and surface area relation

1. ## cylinder volume and surface area relation

soo the question is: there is a volume of 750cm^3 of molten metal available, find the minimum dimensions to create a cylinder.

it sounds quite vague from looking at it. ive tried using both the volume and total surface area formulas for a cylinder which are:

V=πr²h and TSA=2πr²+2πrh

soo substituting 750 as V you would get: 750=πr²h and rearranging that you could get either: h=750/πr² or r=√(750/πh) and substitute those to the TSA formula.

From there i was able to differentiate both functions i got from substituing but couldnt find any maximum or minimum values as i kept getting hyperbola functions and what not.