Final Answer:
The cylindrical rod with a length of 760mm and a diameter of 20.0mm (Option 4) has the specified dimensions.
Thus option 4 is correct.
Step-by-step explanation:
To determine the correct cylindrical rod, we must consider both length and diameter. The length of 760mm is found in options 3 and 4, while the diameter of 20.0mm is available in options 2 and 4. By comparing these dimensions, we can identify that option 4, with a length of 760mm and a diameter of 20.0mm, matches the provided criteria.
To elaborate, the length represents the distance from one end to the other of the cylinder. In this case, the 760mm length signifies the total span of the rod. Meanwhile, the diameter, measuring 20.0mm, indicates the width across the cylindrical shape. It's crucial to select the option that fulfills both these requirements simultaneously. Therefore, the cylindrical rod with a length of 760mm and a diameter of 20.0mm (Option 4) perfectly fits the given criteria.
The length and diameter of a cylinder play pivotal roles in defining its volume, surface area, and various engineering applications. To calculate the volume, we use the formula V = π * r^2 * h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder. For this scenario, the radius (r) would be 20.0mm / 2 = 10.0mm. Substituting these values into the formula with the length of 760mm, we find the volume of the cylinder. This accurate identification ensures precise measurements for any intended usage or engineering specifications.
Therefore option 4 is correct.