Final answer:
To calculate the mass of the solid iron pole, we first find the volume of each of the two cylindrical sections, multiply these volumes by the density of iron, and then sum the masses to obtain the total mass of the pole.
Step-by-step explanation:
The student is asking about finding the mass of a solid iron pole that is made up of two cylinders with different dimensions. The height and diameter of the first cylinder are 220 cm and 24 cm respectively, and the second cylinder has a height of 60 cm and a radius of 8 cm. The density of iron is given as 8 g/cm³.
To find the total mass, we first need to calculate the volume of each cylinder using the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. For the first cylinder, we compute the radius by dividing the diameter by two, which gives us 12 cm. Then we calculate its volume and multiply it by the density to find the mass. We do the same for the second cylinder, which already has the radius given, and add both masses to get the total mass of the pole.