You are asked to build an open cylindrical can (i.e. no top) that will hold 665.5 cubic inches. To do this, you will cut its bottom From a square of

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You are asked to build an open cylindrical can (i.e. no top) that will hold 665.5 cubic inches. To do this, you will cut its bottom From a square of metal and form is curved side by bending a rectangular sheet of metal. 27!? (a) Express the total amount of material required for the square and the rectangle in terms of r.40′) = (b) Find the radius and height of the can that will minimize the total amount of material required. radius = inches height = inches A wire of length 110 inches will be used to make the frame (edges) of a box with a square bottom. w (a) Find a formula for the volume of the box in terms of the width only. Use lower case w. V(w) = cubic inches (b) Find V'(w) =(c) Find the non-zero critical point of V(w). (d) Does your critical point minimize or maximize the volume of the box?0 minimize o maximize