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 A
What is the volume of he hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).
Responses
7,234.6 ft3
7,234.6 ft3
- no response given
5,425.9 ft3
5,425.9 ft3
- no response given
3,617.3 ft3
3,617.3 ft3
- correct
21,703.7 ft3
21,703.7 ft3
- no response given
Score
The volume of the hemisphere can be calculated using the formula V = (2/3) * pi * r^3, where r is the radius.
Substituting in the given values, we have V = (2/3) * 3.14 * 12^3 = 3.14 * 8 * 12^2 = 3.14 * 8 * 144 = 3617.28 ft^3.
Rounding to the nearest tenth, the volume of the hemisphere is approximately 3617.3 ft^3.
Therefore, the correct answer is 3,617.3 ft3.