- Answer: the volume of the sphere to the nearest cubic millimeter is approximately 381.7 cubic millimeters.
To calculate the volume of a sphere, we use the formula:
V = (4/3) * π * r^3
where V is the volume, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
Since we are given the diameter of the sphere, which is 9 millimeters, we can calculate the radius by dividing it by 2:
r = d/2 = 9mm/2 = 4.5mm
Now we can substitute this value into the formula:
V = (4/3) * π * (4.5mm)^3
V ≈ 381.7 cubic millimeters