What is the average density of the earth? The earth has a mass of 5.98x10²⁴ kg. The average diameter of the earth is 1.27x10⁷m. Assume the earth is a sphere. Compare this density to the density of water.

Density = M/V. in kg/m^3.

M = 5.98*10^24 kg.
V = (4/3)pi * r^3 = (4/3) * 3.14 * (6.35*10^6)^3 = 1.07*10^21.

densityEarth=MassEarth/volumeEarth=5.98e24kg/((4/3)*PI*(diameter/2)^3

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5.98e24/((4/3)*PI*(1.27e7/2)^3)=

To calculate the average density of the Earth, we need to divide its mass by its volume.

Step 1: Calculate the volume of the Earth.
Since the Earth is assumed to be a sphere, we can use the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.

The average diameter of the Earth is given as 1.27x10⁷ m. So, the radius (r) is half of the diameter, which is (1.27x10⁷) / 2 = 6.35x10⁶ m.

Using this radius value, we can calculate the volume of the Earth: V = (4/3)π(6.35x10⁶)³.

Step 2: Calculate the mass of the Earth.
The mass of the Earth is given as 5.98x10²⁴ kg.

Step 3: Calculate the average density.
Average density = mass / volume.

Now we can plug in the values we have to calculate the average density of the Earth.

Average density = 5.98x10²⁴ kg / [(4/3)π(6.35x10⁶)³].

The average density of the Earth is approximately 5515 kg/m³.

To compare this density to the density of water, we can note that the density of water is approximately 1000 kg/m³. Thus, the average density of the Earth is much greater than the density of water.

To find the average density of the Earth, we need to divide its mass by its volume. Since the Earth is assumed to be a sphere, we can use the formula for the volume of a sphere to do this calculation.

The formula for the volume of a sphere is V = (4/3) * π * r³, where V is the volume and r is the radius.

Given the diameter of the Earth (1.27x10⁷m), we can find the radius by dividing it by 2:

Radius = Diameter / 2 = (1.27x10⁷m) / 2 = 6.35x10⁶m

Using this radius, we can calculate the volume of the Earth:

V = (4/3) * π * (6.35x10⁶m)³

Since π is a constant, we can use its approximate value of 3.14 to simplify the calculation:

V ≈ (4/3) * 3.14 * (6.35x10⁶m)³

Now we can calculate the volume:

V ≈ 1.07x10²¹m³

Next, we divide the mass (5.98x10²⁴ kg) by the volume (1.07x10²¹m³) to find the average density:

Density = Mass / Volume

Density ≈ (5.98x10²⁴ kg) / (1.07x10²¹m³)

Density ≈ 5.60x10³ kg/m³

Therefore, the average density of the Earth is approximately 5.60x10³ kg/m³.

To compare this density to the density of water, we need to know the density of water. The density of water is approximately 1000 kg/m³.

Comparing the two densities, we can see that the Earth is significantly denser than water.