Answer:
The volume of only the cheese popcorn is 392.5 cubic inches.
Step-by-step explanation:
To determine the volume of only the cheese popcorn,
First, we will determine the volume of the cylindrical tin
The volume of a cylinder is given by
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 tin is 10 inches in diameter and 15 inches tall.
Diameter = 10 inches, therefore, we can find radius
Radius = Diameter/2 = 10/2 = 5 inches
r = 5 inches
h = 15 inches
Now, putting the values into the equation, we get
V = 3.14 × 5² × 15
V = 1177.5 cubic inches
This is the volume of the cylindrical tin.
Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.
∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches
Hence, the volume of only the cheese popcorn is 392.5 cubic inches.
