A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The...

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A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can rh Volume of a cylinder: V = Area of the sides: A = 2rh Area of the top/bottom: A = r To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents 12. A parabola has vertex (3, -1), a horizontal axis of symmetry and passes through the point (-3, 5). Determine the equation of the parabola. A grid is provided for rough work. y |5. 5 X 12. 13. Determine the equation of a circle with centre (-3, 2) that passes through the point (1, 6) . Page 8 of 11 13. 3 marks 3 marks A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can rh Volume of a cylinder: V = Area of the sides: A = 2rh Area of the top/bottom: A = r To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents 12. A parabola has vertex (3, -1), a horizontal axis of symmetry and passes through the point (-3, 5). Determine the equation of the parabola. A grid is provided for rough work. y |5. 5 X 12. 13. Determine the equation of a circle with centre (-3, 2) that passes through the point (1, 6) . Page 8 of 11 13. 3 marks 3 marks