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Earth’s outer core can be modeled by a spherical shell that extends from a distance of approximately 1,200 kilometers from Earth’s center to approximately 3,400 kilometers from Earth’s center. Which of the following is closest to the volume of Earth’s outer core, in cubic kilometers?

Respuesta :

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Answer:

Explanation:

Volume of sphere= 3/4 [tex]\pi r3}[/tex]

(1200)+(3400)=4600⇒ diameter

4600/2=2300 kilometers

3/4×3.14×[tex]2300^{3}[/tex]=28,653,285,000 cubic kilometers

The answer is 28,653,285,000 cubic kilometers, I believe

facundo3141592

The approximated volume of the Earth will be:

[tex]V =1.573*10^{11} km^3[/tex]

How to get the volume?

The volume can be modeled as the difference between the volume of a sphere with a radius of 3,400km and the volume of a sphere with a radius of 1,200 km.

Remember that the volume of a sphere of radius R is:

[tex]V = \frac{3}{4} *3.14*R^3[/tex]

Then the volume of Earth will be:

[tex]V = \frac{4}{3}*3.14*(3,400 km)^3 - \frac{4}{3}*3.14*(1,200 km)^3\\\\V = \frac{4}{3}*3.14*((3,400 km)^3 - (1,200 km)^3) = 1.573*10^{11} km^3[/tex]

If you want to learn more about volumes:

https://brainly.com/question/1972490

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