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 1100⁢ft long with a diameter of 0.3

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Question 1131497: 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
1100⁢ft
long with a diameter of
0.32
inches is
16019
ohms, what is the resistance of
3400⁢ft
of the same type of wire with a diameter of
0.18
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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+R+=+k%2A%28+L%2FD%5E2+%29+
+R%5B1%5D+=+16019+
+16019+=+k%2A%28+1100%2F%28+.32%2F12+%29+%29+
+16019+=+k%2A%28+1100%2F%28+.08%2F3+%29%5E2%29+
+k+=+16019%2A%28+.0007111%2F+1100+%29+
+k+=+11.39111%2F1100+
+k+=+.0103555+
-----------------------------
+R%5B2%5D+=+k%2A%28+3400%2F%28+.08%2F12%29%5E2+%29+
+R%5B2%5D+=+.0103555%2A%28+3400%2F.00004444+%29+
+R%5B2%5D+=+.0103555%2A76507650.77+
+R%5B2%5D+=+792274.98+ ohms
About 792,275 ohms
---------------------------
check my math & get a 2nd opinion if needed