how do you find the volume of a helix

Question

If a tube is wraped around a rod how can you find the maximum capacity of tube? All that I have been able to find is the volume of a cylinder

Answer 1

If you take one full cycle of the helix,and unwrapped the cylinder that it is surrounding, the helix would be the hypotenuse of a right triangle. The height of this triangle would be the length from the bottom of the helix to the point right above it after one wrap around.....and the othe leg of the triangle would be the circumference of the cylinder. Then just count how many times the helix wraps around the cylinder and multiply ir by the hypotenuse.

 

And that's the height of the helix, which is a cylinder itself. then use that height and the helix's radius to find the volume of the helix.

Does this make any sense to you. Hope this helped.