need the answer soon 15min

In this question, we'll find the most economical dimensions (radius x and height y) of a cylindrical soda can. The volume of the can must be 16 cubic units. By "most economical", we mean the "smallest surface area". Handy formulas for a cylinder of radius x and height y. . The surface area is S = 2xx- + 2xxy. . The volume is V = xx y. Let's get started on this interesting problem! (a) You were told that the volume of this can is 16 cubic units. Which equation below is correct? 2xx(x + y) = 16 2xx = 16 xx y = 16 2xx(x + y) + xxy= 16 (b) As usual, solve for the variable y from the correct option in part (a). Doing this gives the following. by = 16-2 ya Artatle 16+25 (c) Substitute the expression for y from part (b) into the formula for the surface area given in the "handy formula" heading. This gives the following expression for the surface area (simplify your expression by cancelling terms where possible). It is the formula whose value you're trying to minimize. OS = 16+zx S = 2xx3 + 2 S = x - 2xx S = 2xx - 3242ex (d) Use the method shown in class to find the radius x and height y which minimize the surface area formula from part (c). Enter only numbers into the following, rounded to 2 decimal places if needed. At this time, you can use 3.142 as an approximation for x. The radius should be x =