on a partime job you are asked to bring a cylindrical iron rod of legnth 85.8 cm and diameter 2.85 cm from a storage room to a machinist. will you need a cart? (to answer calculate the weight of the rod.)
well, I am just going to estimate
iron density about 8 times water
8000 kg/m^3 or 8 g/cm^3
8 L pi r^2 = 8(85)(3)(2.5)^2
about 8 * 85 *3 * 6.3
or 12852 grams
12.8 kg
no problem :) less than 30 pounds
To calculate the weight of the iron rod, you will need to know the density of the material it is made of.
To calculate the weight of the cylindrical iron rod, we need to use the formula:
Weight = Volume × Density
First, we need to find the volume of the rod. The volume of a cylinder can be calculated using the formula:
Volume = π × (radius)^2 × height
Given that the diameter of the rod is 2.85 cm, we can find the radius by dividing the diameter by 2:
Radius = 2.85 cm / 2 = 1.425 cm
Next, we convert the length of the rod from centimeters to meters for consistency:
Height = 85.8 cm = 0.858 meters
Now, we can calculate the volume:
Volume = π × (1.425 cm)^2 × 0.858 meters
Using the approximate value of π as 3.14159, we can calculate the volume:
Volume = 3.14159 × (1.425 cm)^2 × 0.858 meters
Simplifying this calculation gives us the volume of the rod.
Once we have the volume, we can calculate the weight by multiplying it by the density of iron. The density of iron varies slightly depending on its form and purity, but an average value is around 7.87 grams per cubic centimeter or 7,870 kilograms per cubic meter.
Weight = Volume × Density
Plug in the calculated volume and the density of iron:
Weight = (Volume) × (7,870 kg/m^3)
After performing the calculation, you will get the weight of the cylindrical iron rod. If the weight is too heavy for you to carry comfortably, then you will need a cart to transport it.