What is the density of a sphere with a radius of 12.7 meters and a mass of 285 kilograms?
volume of sphere = 4/3 π r^3
density = mass/volume
To find the density of a sphere, you need to know its mass and volume. The formula for density (ρ) is:
ρ = mass / volume
First, let's find the volume of the sphere using the formula:
Volume = (4/3) * π * radius^3
Given that the radius (r) of the sphere is 12.7 meters, we can substitute the value into the formula:
Volume = (4/3) * π * (12.7 meters)^3
Now, calculate the volume:
Volume = (4/3) * 3.14159 * (12.7 meters)^3
Volume ≈ 10748.9384 cubic meters
Next, substitute the mass (m) and volume (v) into the density formula:
Density (ρ) = mass / volume
Density ≈ 285 kilograms / 10748.9384 cubic meters
Finally, calculate the density:
Density ≈ 0.0265 kilograms/meter^3
Therefore, the density of the sphere with a radius of 12.7 meters and a mass of 285 kilograms is approximately 0.0265 kilograms/meter^3.