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) What is the volume of he hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).
(1 point)
Responses
1) 7,234.6 ft3
2) 5,425.9 ft3
3) 21,703.7 ft3
4) 3,617.3 ft3
B) What is the volume of the cone? Use 3.14 for pi and round your answer to the nearest tenth.
1) 753.6 ft^3
2) 9,043.2 ft^3
3) 27,129.6 ft^3
4) 36,172.8 ft^3
C) What is the total volume of the balloon? Use 3.14 for pi and round your answer to the nearest tenth.
Total volume:
ft3
place the answers at the bottom and summarize.
A) The volume of the hemisphere can be calculated using the formula V = (2/3) * pi * r^3, where r is the radius. Substituting the given radius of 12 feet, we get V = (2/3) * 3.14 * 12^3 = 7056.96 ft^3. Rounding to the nearest tenth, the volume of the hemisphere is 7057.0 ft^3. Therefore, the correct answer is 1) 7,234.6 ft^3.
B) The volume of the cone can be calculated using the formula V = (1/3) * pi * r^2 * h, where r is the radius and h is the height. Substituting the given radius of 12 feet and height of 60 feet, we get V = (1/3) * 3.14 * 12^2 * 60 = 9043.2 ft^3. Rounding to the nearest tenth, the volume of the cone is 9043.2 ft^3. Therefore, the correct answer is 2) 9,043.2 ft^3.
C) To calculate the total volume of the balloon, we need to sum the volume of the hemisphere and the volume of the cone. Adding 7057.0 ft^3 and 9043.2 ft^3 gives us 16100.2 ft^3. Rounding to the nearest tenth, the total volume of the balloon is 16100.2 ft^3. Therefore, the correct answer is 4) 16,100.2 ft^3.
Summary:
A) The volume of the hemisphere is 7,234.6 ft^3.
B) The volume of the cone is 9,043.2 ft^3.
C) The total volume of the balloon is 16,100.2 ft^3.