Xeno is a spherical planet with a diameter of 2160 Kms

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Homework Help Overview

The problem involves a spherical planet named Xeno, with a specified diameter of 2160 kilometers. Participants are exploring the relationship between the surface area and volume of the planet, specifically how these relate to the units of distance called xens and zens.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to equate the surface area of the sphere to its volume, using the relationship between the units of xens and zens. Some are expressing confusion about their calculations and the method to derive the correct relationship.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and questioning the correctness of their approaches. There is a sense of uncertainty, and some participants are seeking clarification on the initial steps required to solve the problem.

Contextual Notes

Participants have noted the challenge of dealing with large numerical values when calculating the surface area and volume in kilometers. There is also a mention of a specific equivalence between the units of area and volume, which is central to the problem.

aricho
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Intelligent beings on the plantet Xeno have developed a unit of distance called the xen.

The number of square xens in the surface area of Xeno is exactly the number of cubic zens in its volume.

If Xeno is a spherical planet with a diameter of 2160 Kms, how many km are there in one Xen.

The Answer is 360, but i am confused with the method.

thanks..
 
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Start by figuring out the surface area's equivalence to the volume. The planet is a sphere..
 
ok, here's wat i got i don't know if this it right though?

Let n be the number of square or cubed xens
let x be the number of xens

n(1)=n(2)

n(1)x^2= 4 (pi) r^2
n(1)=4(pi)r^2/x^2

Simariarly, volume

Is that correct?
 
I'm not really sure what you're doing. The first thing I'd do is figure out the planet's surface area and volume in km.
 
i did that you get huge numbers

i'll write it
N one= N two (given)

N one time x squared= 4 pi r^2
N one= 4 pi r^2 divided by x^2

Is that correct>?
 
Hello? help!......
 

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