The volume of the sphere by definition is:
Clearing the radio we have:
![r = \sqrt[3]{ \frac{3V}{4 \pi}}](https://tex.z-dn.net/?f=r%20%3D%20%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%7D%7D%20)
For the initial condition we have that the radius is:
![r1 = \sqrt[3]{ \frac{3(180)}{4 \pi}}](https://tex.z-dn.net/?f=r1%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3%28180%29%7D%7B4%20%5Cpi%7D%7D%20)
For the final condition we have that the radius is:
![r1 = \sqrt[3]{ \frac{3(294)}{4 \pi}}](https://tex.z-dn.net/?f=r1%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3%28294%29%7D%7B4%20%5Cpi%7D%7D%20)
Then, the difference between both values is given by:
Answer:
the radius increase 0.62 inches when the volleyball is fully inflated
Clearing the radio we have:
For the initial condition we have that the radius is:
For the final condition we have that the radius is:
Then, the difference between both values is given by:
Answer:
the radius increase 0.62 inches when the volleyball is fully inflated