Question: answer within 15min English (en) . The surface area is S = 2xx* + 2xxy. The volume is V = xx y. Let's get started

answer within 15min

answer within 15min English (en) . The surface area is S =

English (en) . 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 oxx 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 16 - x Dy = 16-2 16+2 (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. S = 2xx3 + 23 S = x - 2xx S = 2xx - 32+2ex (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 The height should be y These produce a minimal surface area of S =

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