Suppose you have a spherical balloon filled with air at room temperature and 1.0 atm pressure; its radius is 17 cm . You take the balloon in an airplane, where the pressure is 0.89 atm.

If the temperature is unchanged, what's the balloon's new radius?

1 answer

p1/p2=V2/V2

but volume is proportional to radius cubed, so

p1/p2=r2^3/r1^3

1/.89 * 17^3cm=R2^3

r2=17 cubrt(1/.89)