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 AWhat is the volume of he hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).(1 point)Responses5,425.9 ft35,425.9 ft33,617.3 ft33,617.3 ft37,234.6 ft37,234.6 ft321,703.7 ft321,703.7 ft3Question 2Part BWhat is the volume of the cone? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)Responses27,129.6 ft327,129.6 ft39,043.2 ft39,043.2 ft3753.6 ft3753.6 ft336,172.8 ft3
Part A:
The formula for the volume of a hemisphere is (2/3)pi*r^3.
Plugging in the radius, which is 12 feet, we get:
(2/3)(3.14)(12^3) = 2(3.14)(1728) ≈ 10835.52 ft^3
Rounding to the nearest tenth, the volume of the hemisphere is approximately 10835.5 ft^3.
Part B:
The formula for the volume of a cone is (1/3)pi*r^2*h.
Plugging in the radius, which is 12 feet, and the height, which is 60 feet, we get:
(1/3)(3.14)(12^2)(60) = (1/3)(3.14)(144)(60) = 6.28(8640) = 54277.92 ft^3
Rounding to the nearest tenth, the volume of the cone is approximately 54278.0 ft^3.
Therefore, the amount of helium needed to fill the balloon is the sum of the volume of the hemisphere and the volume of the cone:
10835.5 ft^3 + 54278.0 ft^3 = 65113.5 ft^3
Rounding to the nearest tenth, the amount of helium needed to fill the balloon is approximately 65113.5 ft^3.