Xeno is a spherical planet with a diameter of 2160 Kms

AI Thread Summary
Xeno is a spherical planet with a diameter of 2160 kilometers, leading to a surface area and volume relationship where the number of square xens equals the number of cubic zens. The calculation for the surface area involves using the formula 4πr², while the volume is calculated with 4/3πr³. The key to solving the problem is determining the value of one xen in kilometers, which is found to be 360 km. The discussion reveals confusion around the method of equating surface area to volume and the calculations involved. Clarification on the correct approach and formulas is sought by participants.
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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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