What is the average density of Mars? Mass = 6.42 x1023 kg, radius = 3390 km.
Density=mass/volume
Mass=6.42*10⊃23 kg
Radius, r = 3390 km
=3390000 m
Volume = (4/3)πr³
Density = ? kg/m³
To find the average density of Mars, we need to divide its mass by its volume. The formula to calculate density is:
Density = Mass / Volume
First, let's calculate the volume of Mars using its radius.
The volume of a sphere can be calculated using the formula:
Volume = 4/3 * π * r^3
Given the radius of Mars, which is 3390 km (or 3390000 meters), we can now calculate the volume:
Volume = 4/3 * π * (3390000)^3
Volume = 1.631 × 10^11 cubic kilometers (or m^3)
Now, we can calculate the average density by dividing the mass by the volume:
Density = 6.42 × 10^23 kg / 1.631 × 10^11 m^3
Density ≈ 3.934 kg/m^3
So, the average density of Mars is approximately 3.934 kg/m^3.
To find the average density of Mars, you need to divide its mass by its volume. The formula for average density is:
Density = Mass / Volume
First, we need to calculate the volume of Mars. The volume of a sphere is given by the formula:
Volume = (4/3) * π * (radius)^3
Given that the mass of Mars is 6.42 x 10^23 kg and the radius is 3390 km (which needs to be converted to meters for the calculation), let's calculate the average density:
Step 1: Convert the radius from kilometers to meters:
Radius = 3390 km = 3390 * 1000 m = 3,390,000 m
Step 2: Calculate the volume of Mars:
Volume = (4/3) * π * (3,390,000)^3
Step 3: Calculate the average density of Mars:
Density = Mass / Volume
Now, let's calculate the average density of Mars:
Volume = (4/3) * π * (3,390,000)^3
≈ 1.6315 * 10^21 m^3
Density = 6.42 x 10^23 kg / 1.6315 * 10^21 m^3
≈ 3.93 kg/m^3
Therefore, the average density of Mars is approximately 3.93 kg/m^3.