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I need help with a math problem on a piece of wire aroundd a cylinder?

the question is: ten helical turns of wire are wrapped around of a cylindrical tube with outer 4 inches in girth and length of 9 inches. Art the beginning and end, the end of the wire is at the top. Find cable length.

I suppose you mean: the beginning of the wire at the top is in line with the end of the wire at the bottom, so that anda cable Tip exactly 10 times.: If you unwrap the cylinder (and its extension as necessary), the power draw a straight line. The cylinder, a Once unwrapped, it will be a rectangle 4 inches wide by 9 Inches Tall. In this rectangle unwrapped single cable will appear as 10 segments (diagonal flies) that fall 9 / 10 of an inch for each crossing of 4 inches wide. You can calculate the length of a segment of this type (the Pythagorean theorem), then multiply by 10. Or you can "expand" the rectangle so that all 10 laps is displayed as a line: If the cable is about ten times, draw a rectangle that is 9 inches high and 10 * 4 = 40 inches wide. Every 4 inches wide, draw a vertical line (crossing the vertical line means that it has completed one lap). The projection of the wire, in this network will be a straight line from the top corner to opposite bottom corner. From 40 inches wide and 9 inches tall. Theorem Pythagoras. Go for it. However, if you really mean that the helix starts at the top and also finished in the top, then I assume you touch the bottom half way (after 5 laps). Even in the 9x40 rectangle, the cable will appear as a straight line beginning at the upper left corner, going directly to the bottom of the vertical line 5 (after 5 rounds), then high (still as a straight line) to the top of the 10th vertical line). two diagonals.

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