Optimum Volume and Square Area Work.
1) Naffeda wants to create a cylinder to hold 785cm* of water.
a) She wants to create a cylinder with the minimum surface area. Write an equation to the relationship between the height and another dimension.
b) Using your answer from a), write an equation to represent the relationship between height and radius.
c) Substitute your equation for "h" from answer b) into the equation V = tr h.
d) Calculate the radius that would yield the minimum surface area.
e) Using answer e), calculate the minimal surface area possible. Hint: S.A. = 2r + 2r
