Calculating Spiral Length in a Cone: Can You Help?

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To calculate the length of a spiral on a cone, one must consider the cone's dimensions and the spiral's parameters. The spiral starts at a diameter of 8m and ends at a diameter of 10m, with 5 rotations and a vertical rise of 3.6m per rotation. The total vertical height of the spiral is 18m, and the average diameter can be used to determine the radius at each rotation. The length of the spiral can be calculated using the formula for the length of a helix, incorporating the vertical rise and the average radius. Understanding these calculations is essential for accurately determining the spiral length on the cone's surface.
Monachus
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Hi everyone, I need some help ASAP please!

I have forgotten how to calculate the length of a spiral in a cone. I am really only interested in part of the cone from where the diameter is 8m to the base where it will be 10m in diameter.

in this part of the cone there will be 5 rotations each traveling 3.6m vertically up each time.

Thanks for your help!
 
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So your spiral is on the surface of the cone?
 

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