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.
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
To find the total volume of the balloon, we need to calculate the volume of the cone and the volume of the hemisphere and then add them together.
The volume of the cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.
V_cone = (1/3) * 3.14 * 12^2 * 60 = 30,182.4 ft^3
The volume of the hemisphere can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere.
V_hemisphere = (2/3) * 3.14 * 12^3 = 7,238.08 ft^3
Therefore, the total volume of the balloon is:
Total_volume = V_cone + V_hemisphere = 30,182.4 + 7,238.08 = 37,420.48 ft^3
Rounded to the nearest tenth, the total volume of the balloon is 37,420.5 ft^3.