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
A) 7,234.6 ft^3
B) 3,617.3 ft^3
C) 21,703.7 ft^3
D) 5,425.9 ft^3
The volume of the cone can be calculated using the formula V = (1/3) * π * r^2 * h, where r is the radius of the cone and h is the height.
Substituting the given values: V_cone = (1/3) * 3.14 * 12^2 * 60 = 90,355.2 ft^3
The volume of the hemisphere can be calculated using the formula V = (2/3) * π * r^3.
Substituting the given value: V_hemisphere = (2/3) * 3.14 * 12^3 = 7,238.08 ft^3
Therefore, the total volume of the balloon is V_total = V_cone + V_hemisphere = 90,355.2 + 7,238.08 = 97,593.28 ft^3.
Rounded to the nearest hundredth, the amount of helium needed to fill the balloon is 97,593.28 ft^3.
The correct option is A) 7,234.6 ft^3.