Supposed that you are on a planet, which has an average radius 1*10^9m and average density 7.4kg/m^3. Assuming that it's a perfect sphere, find the mass of the planet.
To find the mass of the planet, we can use the formula:
Mass = (4/3) * π * Radius^3 * Density
Let's plug in the given values:
Radius = 1 * 10^9 m
Density = 7.4 kg/m^3
First, we need to calculate the volume of the planet:
Volume = (4/3) * π * Radius^3
= (4/3) * π * (1 * 10^9)^3
Now, let's substitute this value into the mass formula:
Mass = (4/3) * π * (1 * 10^9)^3 * 7.4 kg/m^3
Calculating this expression will give us the mass of the planet.