A round brass bar is 5m long and 14mm in radius calculate it volume in cm cube and if the density of the brass is 8g/cm cube calculate the mass of the bar in kg
First, we need to calculate the volume of the brass bar:
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height (length) of the cylinder.
Given that the radius of the brass bar is 14mm (or 1.4cm) and the length is 5m, we can calculate the volume:
V = π(1.4)^2(500) = 3080π cm^3
Next, we can calculate the mass of the brass bar using the density formula:
Density = mass/volume
Rearranging the formula to solve for mass, we have:
Mass = density x volume
Given that the density of brass is 8g/cm^3, we can now calculate the mass of the brass bar:
Mass = 8 x 3080π = 24640π g
Finally, we convert the mass from grams to kilograms:
Mass = 24640π / 1000 = 77.46 kg
Therefore, the volume of the brass bar is 3080π cm^3 and the mass is 77.46 kg.