The radius of the earth is 6.37*10^6 m and its mass is 5.975*10^24 kg. Find the earth's average density to appropriate significant figure.
To find the Earth's average density, we need to divide its mass by its volume. We can then express the answer with an appropriate number of significant figures.
Here are the steps to calculate the Earth's average density:
Step 1: Compute the volume of the Earth
The volume of a sphere is given by the formula V = (4/3) * π * r³, where r is the radius of the sphere.
Given that the radius of the Earth is 6.37 x 10^6 m, we can substitute this value into the formula:
V = (4/3) * π * (6.37 x 10^6 m)³
Step 2: Calculate the mass of the Earth
The mass of the Earth is given as 5.975 x 10^24 kg.
Step 3: Divide mass by volume to find density
Now, we can divide the mass by the volume to obtain the density. Remember, density is defined as mass per unit volume.
Density = mass / volume
Step 4: Round to the appropriate significant figure
The data provided has only two significant figures. Therefore, we should round the result to two significant figures after performing the calculation.
By following these steps, we can calculate the Earth's average density.