Acone with a radius of 5 cm and height of 8 cm is to be printed from a 3d printer. the medium that the printer will use to print (i. e., the "ink" of this 3d printer) is a type of plastic that comes in coils of tubing that has a radius of 1.(1/3)cm. what length of tubing is needed to complete the printing of this cone?

The cone'll require about 37.5 cm of tubing

Step-by-step explanation:

To do this, we need to know that the volume of the medium will have to be the same volume of the cone that will be printed.

Then, the volume of the cone is:

V = π*r^2*h/3

V = 3.14 * 5^2*8 / 3 = 209.33 cm^3

We can assume that the tubing is a cylinder so:

V = π*r^2*h

The radius is 1 1/3, and this is:

1*3 + 1 = 4/3

Solving for h we have:

h= V/π*r^2

h = 209.33 / 3.14*(4/3)^2

h = 209.33 / 5.58

h = 37.5 cm