Final answer:
To determine the diameter of the ball, use the formula for volume and density. After conversion to powders, find the number of particles, total surface area, percentage increase in total surface area, and bulk density.
Step-by-step explanation:
To determine the diameter of the spherical ball used in women's shotput, we can use the formula for volume and density. The formula for volume of a sphere is V = 4/3 * π * r^3. Since we know the weight and density of the ball, we can calculate its volume, and then find the diameter using the formula for volume of a sphere. Once the ball is converted to powders, we can find the number of particles in the pile by dividing the total volume of the powders by the volume of a single particle. We can calculate the total surface area of all the particles in the pile by multiplying the surface area of a single particle by the number of particles. The percentage increase in total surface area can be found by comparing the total surface area of the particles to the surface area of the original ball. Finally, the bulk density of the powders can be calculated by dividing the weight of the powders by their total volume.