What is the fractionof the total mass of the earth Rφ=6371km is contained within its inner core?Note the inner
core of the earth has a radius of 1300 km and an average density of 1300kgm^-3. The total mass of earth is 5.974x10^24kg.
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Oh dear. You should be able to do this one. You simply need to calculate the mass of the core and divide by the total mass. You have a density and a radius.
Multiply the density of the core by the volume of the core (be sure you use the same units!) I will leave it to you to look up/remember the equation for the volume of a sphere.
Take the result and divide by the total mass. Are you sure that is the density, btw? It seems awfully light for iron at the center of the Earth. Even water has a mass of 1000 kg/m^3.