Explanation:

To determine how many dice can be made from the rod:

- Calculate the volume of the rod:

- The rod is cylindrical, with a diameter of 4 cm and length of 14 cm.

- Radius $r=\frac{4}{2}=2$ cm. Convert to millimeters: $2\text{ cm}=20\text{ mm}$.

- Length in millimeters: $14\text{ cm}=140\text{ mm}$.

- Volume of the cylinder = $\pi r^{2}h=\pi \times {20}^2\times 140$.

- Calculate the volume of one dice:

- Dice side length = 4 mm.

- Volume of one dice = $4^3=64$ mm³.

- Divide the rod's volume by one dice's volume to find the number of dice:

- Total volume of the rod in mm³ = $\pi \times 400\times 140=56000\pi$.

- Number of dice = $\frac{56000\pi }{64}$.

After calculation:

- The number of dice ˜ 2750.

- Option 1: 2750 Correct

- Option 2: 3275

- Option 3: 2250

- Option 4: 2050

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