Final answer:
To find the weight of the iron rod, calculate the volume of the rod by using the formula V = πr²h, where r is the radius and h is the height (or length) of the cylinder. Then, multiply the volume by the density of iron to find the weight.
Step-by-step explanation:
To find the weight of the iron rod, we need to calculate the volume of the rod and then multiply it by the density of iron.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height (or length) of the cylinder.
In this case, the diameter of the rod is 12 cm, so the radius is half of that, which is 6 cm or 0.06 m.
The height (length) of the rod is given as 50 cm, so it remains as 0.50 m.
Using the formula, we can calculate the volume:
V = π(0.06 m)²(0.50 m)
= 0.0036π m³.
The density of iron is 7870 kg/m³.
Now we can find the weight of the rod by multiplying the volume by the density:
Weight = 0.0036π m³ * 7870 kg/m³
= 22.558 kg.