Th Assignment 8 (page 4 of 5) X (1) Math 1120, Section 4.3: Globa X * MATH 1110 : MDM4U - Universit x The Easiest Way to Take a Screen x |+ V X moodle31.upei.ca/mod/quiz/attempt.php?attempt=755699&cmid=633329&page=3 Q E * Moodle Moodle Support * E-Learning at UPEI * Accessdeck Course Archives English (en) Sarah Blake 16+27 2022F MATH-1120-03 (c) Substitute the expression for y from part (b) into the formula for the surface area given in Participants 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 U Badges you're trying to minimize. OS _ 16+TX 32 Competencies OS = 27x2 + 32 Grades OS = x - 272 OS = 27x 16TI 32+2TI Home Dashboard (d) Use the method shown in class to find the radius a and height y which minimize the surface area formula from part (c). Enter only numbers into the following, rounded to 2 Calendar decimal places if needed. At this time, you can use 3.142 as an approximation for 7. Private files The radius should be x = My courses The height should be y = 2022F PHYS-1210L-01 These produce a minimal surface area of S 2022F PHYS-1210-01 2022F MATH-1120-03 OneDrive ... X Previous page Next page Screenshot saved 2022F CHEM-1110L-07 The screenshot was added to your OneDrive. 2022F CHEM-1110-02 - 1" C Search ENG 10:06 PM Mostly cloudy US 2022-11-22Th Assignment 8 (page 4 of 5) X (1) Math 1120, Section 4.3: Globa X * MATH 1110: MDM4U - Universit x | The Easiest Way to Take a Screen x | + V X moodle31.upei.ca/mod/quiz/attempt.php?attempt=755699&cmid=633329&page=3 Moodle Moodle Support * E-Learning at UPEI * Accessdeck Course Archives English (en) Sarah Blake 2022F MATH-1120-03 Quiz navigation Question 4 In this question, we'll find the most economical dimensions (radius ax and height y) of a Not yet cylindrical soda can. The volume of the can must be 16 cubic units. By "most economical", we 1 2 3 5 Participants answered mean the "smallest surface area". Marked out of Handy formulas for a cylinder of radius a and height y: Finish attempt ... U Badges 6.00 Flag question . The surface area is S = 2x2 + 2xxy. Competencies . The volume is V = nazy. Let's get started on this interesting problem! Grades (a) You were told that the volume of this can is 16 cubic units. Which equation below is Home correct? O2xx(x + y) = 16 Dashboard O27x2 = 16 Calendar Onx2y = 16 O2nx(x + y) + nazy = 16 Private files My courses (b) As usual, solve for the variable y from the correct option in part (a). Doing this gives the following. 2022F PHYS-1210L-01 Oy = 16 2 TI 2022F PHYS-1210-01 Oy = 16 72 2 Oy - 16-21 2022F MATH-1120-03 16+21 2022F CHEM-1110L-07 2022F CHEM-1110-02 (c) Substitute the expression for y from part (b) into the formula for the surface area given in - 1" C Mostly cloudy Search L O GC B FIG ENG 10:06 PM US 2022-11-22