A container is fabricated from steel having a thickness of 0.500 inch and an average density of 7.85 g/cm3. (You may assume that the container is cylindrical with hemispherical ends.) What is the mass of the filled container, assuming that liquid propane has a density of 0.585 g/cm3?
Read your problem and your post. I don't believe all of the information is here.
youre missing the dimensions of the container
Suppose the container is fabricated from steel having a thickness of .500 inch and an average density of 7.85 g/cm3. (You may assume that the container is cylindrical with hemispherical ends.) What is the mass of the filled container assuming that liquid propane has a density of .585 g/cm3. The total length is 10 ft, the height is 4 ft, and each hemispherical end is 2 ft.
To find the mass of the filled container, we need to know the volume of the container and then multiply it by the density of the liquid propane.
First, let's calculate the volume of the container. Since the container is cylindrical with hemispherical ends, we can break it down into three parts: two hemispheres and a cylinder.
The volume of a sphere is given by the formula:
V_sphere = (4/3) * π * r^3
The volume of a cylinder is given by the formula:
V_cylinder = π * r^2 * h
Since the cylinder and the hemispheres share the same radius, we need to find the radius of the container. The thickness of the container is given as 0.500 inch, which means the radius of the inner part of the container will be the outer radius minus the thickness.
Let's assume the outer radius is R, then the inner radius will be R - 0.500 inch.
Now, let's calculate the volume of the container.
The volume of the two hemispheres:
V_hemisphere = 2 * V_sphere
The volume of the cylinder:
V_cylinder = V_cylinder = π * r^2 * h
The total volume of the container:
V_total = V_hemisphere + V_cylinder
Next, we can calculate the mass of the filled container by multiplying the total volume by the density of liquid propane:
Mass = V_total * density_liquid_propane
Substituting the known values, we get:
Mass = V_total * 0.585 g/cm3
By following these steps, you can calculate the mass of the filled container.