To find the density of the metal in p/c*m^3 (pounds per cubic meter), we first need to convert the given measurements into standard units.
Given:
Mass of the metal = 1287 g
Diameter of the sphere = 6.40 cm
To calculate the density, we'll follow these steps:
1. Convert the mass from grams to kilograms:
Mass in kg = 1287 g / 1000 = 1.287 kg
2. Calculate the radius of the sphere by dividing the diameter by 2:
Radius = 6.40 cm / 2 = 3.20 cm = 0.032 m
3. Calculate the volume of the sphere using the formula:
Volume = (4/3) * π * (radius)^3
Volume = (4/3) * π * (0.032 m)^3
4. Calculate the density using the formula:
Density = Mass / Volume
Now, let's calculate the density:
Density = 1.287 kg / [(4/3) * π * (0.032 m)^3]
The result will be the density of the metal in p/c*m^3 (pounds per cubic meter).