Calculating mass of inner core in Kg when i only have the density

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Discussion Overview

The discussion revolves around calculating the mass of the Earth's inner core using its density and radius. Participants explore the necessary formulas and information required for the calculation, including the relationship between mass, density, and volume.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to calculate the radius or volume without additional information, given only the density of 14.5 x 10³ kg m-3.
  • Another participant suggests that the radius is essential for the calculation and later confirms that the radius is 1221 km.
  • A different participant notes that additional information, such as the total mass or the density of the non-core part, might be necessary for a complete understanding.
  • One participant clarifies that the problem requires using the equation mass = density x volume, indicating that with both density and radius provided, the calculation can proceed.

Areas of Agreement / Disagreement

Participants generally agree that both density and radius are needed to calculate the mass, but there is some uncertainty about whether additional information is required for clarity in the problem.

Contextual Notes

Participants have not resolved the potential need for further information beyond density and radius, and there are varying interpretations of what constitutes sufficient data for the calculation.

flower123
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Homework Statement


SO i don't have the radius or the volume but i have an estimate of the density 14.5 10³kg m-3
Im really uncertain of the formula needed to A. get the radius without the volume and vice versa. PLEASE HELP! Thanks in advance!


Homework Equations





The Attempt at a Solution

 
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If density estimate is all you have, I can't think of anything. But perhaps that's not the whole question/problem?

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what else would i need? Radius? The radius is 1221km sorry for the rush in my posting and leaving out the rather important bits!
 
And the total mass, or the density of the none core part, or the overall average density.
 
the question reads...

using the information calculate the mass of the Earth's core in Kg applying the equation mass= density x volume.

show all working and and include units. give answer in appropriate scientific notation and to an appropraite significant figures.

So i have used the graph provided to get the value of density for the inner core.14.5 10³kg m-3 and the radius of 1221km. SO to calculate the volume of a sphere using these values.
 
So where is the problem? You have density and radius, you don't need anything else.

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methods
 

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