A giant balloon used for a parade is shaped like a ice cream cone. The radius of the cone and the hemisphere is 12 feet. The height of the cone is 60 feet it’s a balloon is filled with humanism. How much humanism will be needed to fill the balloon use 3.14 for pi.

1 answer

To calculate the volume of the balloon, we need to find the volume of the cone and the volume of the hemisphere separately, and then add them together.

The volume of a cone is given by the formula V_cone = (1/3) * pi * r^2 * h, where r is the radius and h is the height.

Plugging in the values, we have V_cone = (1/3) * 3.14 * 12^2 * 60 = 30144 cubic feet.

The volume of a hemisphere is given by the formula V_hemisphere = (2/3) * pi * r^3.

Plugging in the values, we have V_hemisphere = (2/3) * 3.14 * 12^3 = 904.32 cubic feet.

Adding the volumes of the cone and hemisphere together, we have V_total = V_cone + V_hemisphere = 30144 + 904.32 = 31048.32 cubic feet.

Therefore, approximately 31048.32 cubic feet of helium will be needed to fill the balloon.