A balloon has a 14-in. diameter when it is fully inflated. Half the air is let out of the balloon. Assuming the balloon is a sphere, what is the new diameter. Round your answer to the nearest inch.

Answer 1

Answer 2

Volume of fully inflated balloon = (4/3)π(7)³

Volume after releasing 1/2 of the air = (4/3)πr³ = (1/2)(4/3)π(7)³

So, r³ = (1/2)(7)³.

r = 7 / (2)^1/3