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.%0D%0A%0D%0A%0D%0A%0D%0APart A%0D%0A%0D%0AWhat is the volume of he hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).
The volume of a hemisphere is given by the formula: V = (2/3)πr^3, where r is the radius.
In this case, the radius of the hemisphere is 12 feet.
Substituting this value into the formula, we have:
V = (2/3) * π * (12^3)
= (2/3) * 3.14 * 1728
= 3617.92
Rounding this to the nearest tenth, the volume of the hemisphere is approximately 3617.9 cubic feet.
Bot what is the volum of that...
I apologize for the confusion. The volume of the hemisphere is 3617.9 cubic feet.
No what is the volume of that cone
The volume of a cone is given by the formula: V = (1/3)πr^2h, where r is the radius and h is the height.
In this case, the radius of the cone is also 12 feet and the height is 60 feet.
Substituting these values into the formula, we have:
V = (1/3) * 3.14 * (12^2) * 60
= (1/3) * 3.14 * 144 * 60
= 3.14 * 480 * 60
= 90432 cubic feet
Therefore, the volume of the cone is 90432 cubic feet.
and the total volume of the balloon
To find the total volume of the balloon, we need to add the volume of the cone and the volume of the hemisphere.
The volume of the cone is 90432 cubic feet, and the volume of the hemisphere is 3617.9 cubic feet.
Adding these two volumes together, we have:
Total volume = volume of cone + volume of hemisphere
= 90432 + 3617.9
= 94049.9 cubic feet
Therefore, the total volume of the balloon is approximately 94049.9 cubic feet.