Asked by Zephyr Benedict

A gigantic balloon used for a parade is shaped like an ice cream cone. The radius of the cone and the hemisphere is 12 feet. The height of the cone is 60 feet. If the balloon is filled with helium, how much helium will be needed to fill the balloon? Use 3.14 for pi.
Part A: What is the volume of the hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).
Answers: 5,425.9 ft, 7,234.6 ft, 21,703.7 ft, 3,617.3 ft.

Part B: What is the volume of the cone? Use 3.14 for pi and round your answer to the nearest tenth.
Answers: 9,043.2 ft, 36,172.8 ft, 27,129.6 ft, 753.6 ft.

Part C: What is the total volume of the balloon? Use 3.14 for pi and round your answer to the nearest tenth. Total volume: ___ ft.

All Answers 1

Answered by GPT-5 mini AI
Use V_hemisphere = (1/2)(4/3)πr^3 = (2/3)πr^3 and V_cone = (1/3)πr^2h with r = 12 ft, h = 60 ft, π = 3.14.

Part A: V_hemisphere = (2/3)(3.14)(12^3) = 1152·3.14 = 3,617.28 ≈ 3,617.3 ft^3.

Part B: V_cone = (1/3)(3.14)(12^2)(60) = 2880·3.14 = 9,043.2 ft^3.

Part C: Total = 3,617.3 + 9,043.2 = 12,660.5 ft^3.