Step-by-step explanation:
To find the volume of a sphere, we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Given the diameter of the sphere is 19 mm, the radius (r) would be half of that, which is \( \frac{19}{2} = 9.5 \) mm.
Substituting the value of the radius into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (9.5)^3 \]
\[ V ≈ \frac{4}{3} \times 3.14 \times 857.375 \]
\[ V ≈ \frac{4}{3} \times 2691.995 \]
\[ V ≈ 3589.33 \]
Rounding to the nearest hundredth, the volume of the sphere is approximately 3589.33 cubic millimeters.
