Answer:
$0.293.
Explanation:
To find the cost per square inch of the cheese, you need to divide the total cost by the total number of square inches. Since the cheese is in the shape of a wheel, you'll need to calculate the area of the circle formed by the wheel and then divide the cost by that area.
The formula to calculate the area of a circle is:
Area = πr^2
Where:
π (pi) is approximately 3.14159.
r is the radius of the circle.
In this case, the diameter of the wheel is given as 9 inches, so the radius (r) is half of that, which is 4.5 inches.
Now, calculate the area of the circle:
Area = π * (4.5 inches)^2
Area ≈ 3.14159 * 20.25 square inches
Area ≈ 63.585 square inches (rounded to three decimal places)
Now, you can find the cost per square inch by dividing the total cost ($18.60) by the total area:
Cost per square inch = Total Cost / Total Area
Cost per square inch = $18.60 / 63.585 square inches
Cost per square inch ≈ $0.293 (rounded to three decimal places)
So, the cost per square inch of the cheese is approximately $0.293.