SOLUTION: A spherical–shaped ball that has a radius of 4 inches is currently deflated. How much air would it take to completely inflate the ball?

Algebra ->  Circles -> SOLUTION: A spherical–shaped ball that has a radius of 4 inches is currently deflated. How much air would it take to completely inflate the ball?      Log On


   



Question 1079791: A spherical–shaped ball that has a radius of 4 inches is currently deflated.
How much air would it take to completely inflate the ball?

Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
V = 4/3Pir^3
V = 4/3Pi*4^3
V = 4.19*64
V = 268.16 cubic inches of air

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
The question in this post is formulated incorrectly and therefore makes no sense, until the term "completely inflate the ball" is determined.

The amount of air (the mass of air that must be pumped into the ball) depends on pressure inside the ball.


The answer by the other tutor is wrong and demonstrate that the person doesn't know Physics and even does not possess
correct physical intuition in the area.

The relation between the mass of the gas, the pressure and the volume is given by the gas law PV = nRT
(see the link https://en.wikibooks.org/wiki/General_Chemistry/Gas_Laws#Ideal_Gas_Law).

Probably, the correct question would be "what is the volume of the ball having the radius of 4 inches ?",
and the answer is V = %284%2F3%29pir%5E3.