3. (4 pts) The size of the pores that exist in a green body ceramic depends on the arrangement and size of the powder particles in the compact. We will examine this using a simple two-dimensional model of particle packing. Below is a two-dimensional simple cubic arrangement of spheres with radius R. (1) Assume a spherical pore as shown in the schematic above. Calculate the size of the pore (which would have a radius r ) that would exist between these four powder particles that have particle sizes of 150m. (2) Determine what is the maximum size for a spherical guest particle to be filled in the center pore of the cube. What is the radius ratio of this guest particle vs. the initial sphere? 3. (4 pts) The size of the pores that exist in a green body ceramic depends on the arrangement and size of the powder particles in the compact. We will examine this using a simple two-dimensional model of particle packing. Below is a two-dimensional simple cubic arrangement of spheres with radius R. (1) Assume a spherical pore as shown in the schematic above. Calculate the size of the pore (which would have a radius r ) that would exist between these four powder particles that have particle sizes of 150m. (2) Determine what is the maximum size for a spherical guest particle to be filled in the center pore of the cube. What is the radius ratio of this guest particle vs. the initial sphere