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The Galvanized Rod Company (GRC) makes steel rods coated with a thin layer (10-4 m) if zinc. The rods aer cylinders and the thickness

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The Galvanized Rod Company (GRC) makes steel rods coated with a thin layer (10-4 m) if zinc. The rods aer cylinders and the thickness of zinc is the same for all sizes of rods. The rods are large enough that the mass of the rods is determined entirely by the steel (the zinc coating is thin enough to have negligible mass). The rods are long enough that the amount of zinc required to cover the ends is negligible compared to the zinc required to cover the curved sides of the cylinders. One of your standard rods (rod A) has a length L and a radius r. Another standard rod (rod B) has length LB and radius B. Rod A is 16 percent longer than rod B. The two rods have the same mass. 1) What is the ratio of the radius of rod A to the radius of rod B? In other words, what is r/rB? 0.928 2) What is the percent difference between the radius of A and the radius of B? The sign (positive or negative) is important). In other words, what is "x" in the equation: A = (1 + (x/100)) rB ? -7.2 0.9989 Submit 3) The amount of steel required to make rod A is S, and the amount of steel required to make rod B is SB. What is the ratio SA/SB? 1.07648 Submit Your submissions: 1.07648 Computed value: 1.07648 Feedback: Correct! 4) The amount of zinc required to coat rod A is ZA, and the amount of zinc required to coat rod B is ZB. What is the ratio ZA/ZB? Submit Submit Submitted: Saturday, January 9 at 12:30 AM 5) The company also makes galvanized steel spheres (steel spheres with a zinc coating of the same thickness as the galvanized rods). One standard sphere, sphere C, has a radius of rc, while sphere D has a radius of rp. The radius of sphere C is 8.6 percent greater than the radius of sphere D. They do not have the same mass. Again, the thickness of the coating of zinc is always the same and it is small enough that essentially all of the mass of the sphere is the mass of the steel. What is the ratio of the mass of sphere C to the mass of sphere D? In other words, what is mc/mp ? 1.28 Your submissions: 1.28 Computed value: 1.28 Feedback: Correct! 1.25 6) The amount of steel required to make spere C is Sc, and the amount of steel required to make sphere D is Sp. What is the ratio Sc/Sp? Submit Submitted: Friday, January 8 at 3:06 PM Your submissions: Computed value: 1.25 Feedback: 1.25 X Submit Submitted: Saturday, January 9 at 12:30 AM 7) The amount of zinc required to coat spere C is Zc, and the amount of zinc required to make sphere D is Zp. What is the ratio zc/Zp? Submit +

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