Calculate the average density of earth in terms of G,R,M ? (Hint - volume of a sphere is = 4/3 π r³)

Sure, here is the step by step solution:

Step 1: The formula for the volume of a sphere is V = 4/3 π r³. In this case, r is the radius of the Earth, which we'll denote as R.

Step 2: Substitute R into the volume formula: V = 4/3 π R³.

Step 3: The formula for density (D) is mass (M) divided by volume (V). So, D = M/V.

Step 4: Substitute the volume of the Earth (from step 2) into the density formula: D = M / (4/3 π R³).

Step 5: Simplify the equation to find the average density of the Earth in terms of G, R, and M: D = 3M / (4π R³).

So, the average density of the Earth in terms of G (gravitational constant), R (radius of the Earth), and M (mass of the Earth) is D = 3M / (4π R³). Please note that G is not used in this calculation.