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).
(1 point)
Responses
7,234.6 ft3
7,234.6 ft3
21,703.7 ft3
21,703.7 ft3
5,425.9 ft3
5,425.9 ft3
3,617.3 ft3
3,617.3 ft3
To find the volume of the hemisphere, we can use the formula for the volume of a sphere which is (4/3)πr^3, and then divide it by 2 since we only need the volume of half a sphere.
The radius of the hemisphere is 12 feet.
Using the formula, we have:
(4/3)π(12^3) / 2
= (4/3)π(1728) / 2
= (4/3)(3.14)(1728) / 2
= 7238.08 ft^3
Rounding to the nearest tenth, the volume of the hemisphere is approximately 7238.1 ft^3.
Therefore, the correct response is:
7,234.6 ft^3