<PRE><B>Question 807711</B>
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 300 feet long with a diameter of 0.26 inches is 18386 ohms, what is the resistance of 3100 feet of the same type of wire with a diameter of 0.35 inches?
 (Leave k in fraction form or round to at least 3 decimal places.
 Round off your final answer to the nearest hundredth.)
:
{{{(KL)/d^2}}} = R
Find k
{{{(300K)/.26^2}}} = 18386
{{{(300K)/.0676}}} = 18386
K = {{{(.0676*18386)/300}}}
K = 4.143
&quot;what is the resistance of 3100 feet of the same type of wire with a diameter of 0.35 inches?&quot;
R = {{{(4.143*3100)/.35^2}}}
R = 10,482.73 ohms

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