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 C
What is the total volume of the balloon? Use 3.14 for pi and round your answer to the nearest tenth.
(1 point)
Total volume:
ft3
The total volume of the balloon can be calculated by adding the volume of the cone and the volume of the hemisphere.
Volume of cone = (1/3) * pi * radius^2 * height
Volume of cone = (1/3) * 3.14 * 12^2 * 60
Volume of cone = 30144 ft^3
Volume of hemisphere = (2/3) * pi * radius^3
Volume of hemisphere = (2/3) * 3.14 * 12^3
Volume of hemisphere = 904.32 ft^3
Total volume = Volume of cone + Volume of hemisphere
Total volume = 30144 ft^3 + 904.32 ft^3
Total volume = 31048.32 ft^3
The total volume of the balloon is 31048.32 ft^3.