contestada

a circular cylindrical post with a circumference of 4 feet has a string wrapped around it, spiraling from the bottom of the post to the top of the post. the string evenly loops around the post exactly four full times, starting at the bottom edge and finishing at the top edge. the height of the post is 12 feet. what is the length, in feet, of the string?

Respuesta :

The length of the string wrapped around a circular cylindrical post is 20ft.

We have a circular cylinder and a string wrapped around it.

If we unwrap one complete revolution of string around the post. We have a rectangle. Having a width of 4ft (that is the circumference of the post.)

height of the post is 12 feet

Then height of the rectangle is. 12/4 = 3ft

The string evenly loops around the post exactly four full times, starting at the bottom edge and finishing at the top edge.

So the length of this is the hypotenuse of right triangle sides 3 and 4

then length determined using Pythagoras theorem

L² = 3²+4² = 25

L =√25 =5ft

Here we have three more similar triangles in  more 3 revolution.

1 revolution×5+ 3revolution×5

4×5 =20ft

The length of the string  wrapped around a circular cylindrical post is 20ft.

To know more about the length

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