The formula for the volume of a sphere is:
V = (4/3)πr³
where D is the diameter, which is twice the radius (r). So we can calculate the radius as:
r = D/2 = 9.2mm/2 = 4.6mm
Now we can substitute the value of r into the formula for the volume:
V = (4/3)πr³ = (4/3)π(4.6mm)³ = 487.9mm³
Rounding this answer to the nearest tenth gives:
V ≈ 487.9mm³ ≈ 487.8mm³
Therefore, the volume of the sphere is approximately 487.8 cubic millimeters.