This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
\text{7850 cm
Hey ~mosh♡, good to see you again.
To find the total length of the rope, we first need to calculate the length of one turn, which is the circumference of the cylinder.
Step 1: Calculate the circumference of the cylinder. The radius of the cylinder is cm. The formula for the circumference of a circle is . Using :
Step 2: Calculate the total length of the rope. The rope is wound 50 times around the cylinder. So, the total length is the circumference multiplied by the number of turns.
The total length of the rope is .
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Hey ~mosh♡, good to see you again. To find the total length of the rope, we first need to calculate the length of one turn, which is the circumference of the cylinder.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.