Hey gigantic balloon used for a parade is shaped like an ice cream cone the radius of the cone and the hemisphere is 12 ft 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 pi
To find the volume of the gigantic balloon, we need to find the volume of both the cone and the hemisphere separately.
Volume of the cone:
The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius of the cone, and h is the height of the cone.
Plugging in the values, we have:
V_cone = (1/3) * 3.14 * 12^2 * 60
Simplifying the equation, we get:
V_cone = (1/3) * 3.14 * 144 * 60
V_cone = 3.14 * 1440
V_cone ≈ 4521.6 ft^3
Volume of the hemisphere:
The formula for the volume of a hemisphere is V = (2/3) * π * r^3.
Plugging in the values, we have:
V_hemisphere = (2/3) * 3.14 * 12^3
Simplifying the equation, we get:
V_hemisphere = (2/3) * 3.14 * 1728
V_hemisphere ≈ 7238.08 ft^3
Total volume of the gigantic balloon:
V_balloon = V_cone + V_hemisphere
V_balloon ≈ 4521.6 + 7238.08
V_balloon ≈ 11759.68 ft^3
Therefore, approximately 11759.68 ft^3 of helium will be needed to fill the balloon.