Is there negative volume?

Question

Imagine a huge orange that is actually a hypersphere in a 300 dimensional space with a radius of 100 m. What is the volume of the fruit after peeling it? The thickness of the peels is 2 m.

Answer 1

the fruit will have the radius r=100-2=98 m
Then the hypersphere will be
the set {x=(x_1,...,x_300), sum x_k^2
v_300=pi^150*98^300/Γ(151), where Γ is the gamma function and
Γ(151)= 5.71338 10^262
so its

(sqrt(pi)*98)^300/(5.7*10^262)
It's a big number, bigger than 30^300
There is no negative number

funny problem

Answer 2

No, you may no longer have a unfavorable quantity like the previous comic tale "How lots airborne dirt and airborne dirt and dust is in a hollow 4x4x4. None, or it would not be a hollow even although, once you take care of quantity in a unfavorable quadrant, that quantity will subtract from the 'useful' quantity so which you would be wanting to transpose your merchandise so that's completely above the x axis to get the genuine quantity [bear in suggestions Geometry once you had to bypass the curve so which you had all of it above the x-axis?] desire that facilitates

Answer 3

It would be approximately 14.245847, assuming the giant space goat has no interference withunto the dichotomy of the air-speed ratio to the intrespheristic protaught.