Xeno is a spherical planet with a diameter of 2160 Kms

In summary, the intelligent beings on planet Xeno have developed a unit of distance called the xen, and the number of square xens in the surface area of Xeno is the same as the number of cubic zens in its volume. The planet has a diameter of 2160 km and the answer to how many km are in one xen is 360, but the method used is unclear. It is suggested to first find the surface area and volume of the planet in km and then proceed with the given equation.
  • #1
aricho
71
0
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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  • #2
Start by figuring out the surface area's equivalence to the volume. The planet is a sphere..
 
  • #3
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?
 
  • #4
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.
 
  • #5
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>?
 
  • #6
Hello? help!......
 

1. What is the diameter of Xeno?

Xeno is a spherical planet with a diameter of 2160 kilometers.

2. How does Xeno's diameter compare to Earth's?

Xeno's diameter is significantly smaller than Earth's, which has a diameter of approximately 12,742 kilometers.

3. What is the shape of Xeno?

Xeno is a spherical planet, meaning that it is round and has a curved surface.

4. How does Xeno's size affect its gravity?

Xeno's smaller size means that it has less mass and therefore less gravity compared to larger planets like Earth.

5. Could life exist on Xeno?

It is currently unknown if life could exist on Xeno, as there are many factors that contribute to a planet's ability to support life. Further research and exploration would be needed to determine this.

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