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. what is the total volume of the balloon? Use 3.14 for pi and round your answer to the nearest tenth. (1 point)
To find the volume of the balloon, we need to find the volume of the cone and the hemisphere separately and then add them together.
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
Plugging in the values, we get V_cone = (1/3) * 3.14 * (12^2) * 60 = 30,182.4 cubic feet.
The volume of a hemisphere is given by the formula V = (2/3) * π * r^3, where r is the radius.
Plugging in the value, we get V_hemisphere = (2/3) * 3.14 * (12^3) = 9,026.88 cubic feet.
Finally, we add the two volumes together to find the total volume:
V_total = V_cone + V_hemisphere = 30,182.4 + 9,026.88 = 39,209.28 cubic feet.
Rounding to the nearest tenth, the total volume of the balloon is 39,209.3 cubic feet.