A gigantic balloon used for a parade a shape like an ice cream cone the radius of the hemispheres 12 ft in the height of the cone is 60 ft if the balloon is filled with helium how much helium will be needed to fill the balloon use 3.14 for pi
To find the volume of the balloon, which represents the amount of helium needed, we need to calculate the volume of the two hemispheres and the cone and then add them together.
Volume of a Hemisphere = (2/3) * pi * radius^3
Volume of a Cone = (1/3) * pi * radius^2 * height
First, let's find the volume of the hemispheres:
Volume of 2 Hemispheres = (2/3) * 3.14 * 12^3
Volume of 2 Hemispheres = (2/3) * 3.14 * 1728
Volume of 2 Hemispheres = 2.09 * 1728
Volume of 2 Hemispheres = 3601.92 ft^3
Then, let's find the volume of the cone:
Volume of Cone = (1/3) * 3.14 * 12^2 * 60
Volume of Cone = (1/3) * 3.14 * 144 * 60
Volume of Cone = (1/3) * 3.14 * 8640
Volume of Cone = 9049.60 ft^3
Finally, let's add the volumes of the hemispheres and cone together to find the total volume of the balloon:
Total Volume = Volume of 2 Hemispheres + Volume of Cone
Total Volume = 3601.92 + 9049.60
Total Volume = 12,651.52 ft^3
Therefore, approximately 12,651.52 ft^3 of helium will be needed to fill the balloon.