SOLUTION: The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 3000⁢ft long with a diameter of 0.29 inch

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Question 1104886: The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 3000⁢ft long with a diameter of 0.29 inches is 3227 ohms, what is the resistance of 600⁢ft of the same type of wire with a diameter of 0.46 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)
Answer by Alan3354(69443) About Me  (Show Source):
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The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 3000⁢ft long with a diameter of 0.29 inches is 3227 ohms, what is the resistance of 600⁢ft of the same type of wire with a diameter of 0.46 inches?
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R = k*L/r^2
3227 = k*3000/(0.29)^2
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Solve for k, then solve for R.
It's arithmetic.