SuicideFuel Problem

[trying to ascend]

A cube is inscribed in a sphere, the edge of the cube equals 2a.

A random point is chosen inside the sphere, what's the probability that this point is inside the cube?

 

[Claude]

50/50

It’s either in or it’s not

 

[trying to ascend]

50/50

It’s either in or it’s not

Possibility ≠ probability

 

[trying to ascend]

3/pi

Wrong

 

[Rance]

69

 

[trying to ascend]

pi/6

No

 

[trying to ascend]

am i close?

No

 

[Ducky]

(6a^3)/(pi*r^3)

Couldn't be easier.

 

[Ducky]

I guess you could simply further since diagonal of cube should be equal to diameter of sphere, but I will not.

 

[NirvanaFan1988]

why asking math questions on a forum of KHHV losers?

 

[trying to ascend]

why asking math questions on a forum of KHHV losers?

Because there are many high IQ users here

 

[Oroborus]

Because there are many high IQ users here

 

[NirvanaFan1988]

there are many high IQ users here

wtf?

 

[trying to ascend]

wtf?

High IQ = Crack the JEE
Normal IQ = fail JEE
Low IQ = fail NIMCET

 

[NirvanaFan1988]

High IQ = Crack the JEE
Normal IQ = fail JEE
Low IQ = fail NIMCET

excuse me what?

 

[LeFrenchCel]

Between 0% and 100% probability I guess

 

[HyperVersager_4EVER]

(3√2)/2π?
Edit: No it should be 2/√3π?

 

[trying to ascend]

(3√2)/2π?
Edit: No it should be 2/√3π?

Correct

 

[HyperVersager_4EVER]

Correct

Tbh I couldn't figure out what you mean by "the edge of the cube equals 2a."???
"A cube is inscribed in a sphere" would mean that the r of the sphere would equal to √3/2 of one side of the cube and went from there.