Question

Use the information to answer the question.

Information
A spherical balloon has a radius of 6 feet. Air is leaking out of the balloon at a rate of 30 cubic feet per minute, and the balloon has already lost 20% of its air.

Question
To the nearest minute, how long will it take for the balloon to become completely empty? Enter the answer in the box.

Response area with 1 text input box
minutes

Answer 1

Initial volume = (4/3)π(6^3) = 288π ft^3. Remaining = 80% → 0.8·288π = 230.4π ft^3.
Time = volume / rate = (230.4π) / 30 = 7.68π ≈ 24.13 minutes.

To the nearest minute: 24 minutes.