Question 1 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

volume of cone = 27,129

What is the total volume of the balloon? Use 3.14 for pi and round your answer to the nearest tenth. (1 point)

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
5,425.9 ft3 5,425.9 ft3
21,703.7 ft3 21,703.7 ft3
7,234.6 ft3 7,234.6 ft3
3,617.3

All connected to the question above

1 answer

The total volume of the balloon can be found by adding the volumes of the cone and the hemisphere together.

The volume of a cone is given by the formula: (1/3) * pi * r^2 * h
Substituting the given values, we have: (1/3) * 3.14 * 12^2 * 60 = 27,129 ft^3

The volume of a hemisphere is given by the formula: (2/3) * pi * r^3
Substituting the given value, we have: (2/3) * 3.14 * 12^3 = 7,234.6 ft^3

Therefore, the total volume of the balloon is: 27,129 ft^3 + 7,234.6 ft^3 = 34,363.6 ft^3

So the total volume of the balloon is approximately 34,363.6 ft^3.

The volume of the hemisphere is approximately 7,234.6 ft^3.