Answer:
576.975 cubic feet of helium will be needed to fully inflate the balloon
Step-by-step explanation:
To determine how many cubic feet of helium will be needed to fully inflate the balloon, we will determine the volume of the balloon.
From the question,
The balloon is shaped like a giant soda can.
A giant soda can is cylindrical.
Hence, we can determine the volume of the balloon shaped like a giant soda can by using the formula for finding the volume of a cylinder.
The formula for finding the volume of a cylinder is
V = πr²h
Where V is the volume of the cylinder
π is a constant (Take π = 3.14)
r is the radius of the cylinder
and h is the height of the cylinder
From the question, the balloon is 15 feet tall and 7 feet wide
Hence,
Height, h = 15 feet
Width = 7 feet
(NOTE: The width of a cylinder is the same as the diameter)
Then, diameter = 7 feet
Radius, r is given by
Radius = Diameter / 2
Then, Radius = 7 feet / 2 = 3.5 feet
∴ Radius, r = 3.5 feet
Now, for the volume of the balloon,
V = πr²h
V = 3.14 × (3.5)² × 15
V = 3.14 × 12.25 × 15
V = 576.975 cubic feet
This is the volume of the balloon.
Hence, 576.975 cubic feet of helium will be needed to fully inflate the balloon.