Here we have a metal sphere resting in a tapered hole. Create a graph that shows the relationship between the diameter of the hole (call that x) and how far the sphere protrudes above the surface (call that y). This is a measuring technique sometimes used by machinists to determine the sizes of openings that are not easily measured, such as when they are tapered. Assume the sphere has a diameter of 12.00 mm. A little sketching with some dimension lines is probably in order, but just remember, you are trying to assign relationships to the three sides of the right triangle. Your sketch should look like the sector geometry drawing in the assignment introduction. Here are some notes that should help get your equation built (you may want to print the image, and add these dimensions to it). The hypotenuse is the radius of the sphere. The horizontal side of the triangle is one half of the chord. The vertical side of the triangle is the radius minus the sector. The protrusion is the radius plus the triangle height. If the sphere protrudes from the surface 5.9mm, how big is the hole?

Question

Here we have a metal sphere resting in a tapered hole. Create a graph that shows the relationship between the diameter of the hole (call that x) and how far the sphere protrudes above the surface (call that y). This is a measuring technique sometimes used by machinists to determine the sizes of openings that are not easily measured, such as when they are tapered. Assume the sphere has a diameter of 12.00 mm. A little sketching with some dimension lines is probably in order, but just remember, you are trying to assign relationships to the three sides of the right triangle. Your sketch should look like the sector geometry drawing in the assignment introduction.

Here are some notes that should help get your equation built (you may want to print the image, and add these dimensions to it).