if the 9-inch wheel of cheese costs $18.60, what is the cost per square inch
cost/area = $18.60/(π*4.5^2) = 18.60/63.61 = $0.29/in^2
To find the cost per square inch of the 9-inch wheel of cheese, we need to calculate the area of the wheel first. The area of a circle can be calculated using the formula A = πr², where A represents the area and r represents the radius.
Given that the wheel of cheese has a diameter (which is twice the radius) of 9 inches, the radius would be half of that, which is 4.5 inches.
So, the area of the wheel of cheese is A = π(4.5)².
Now, let's calculate the area and the cost per square inch:
Area = π(4.5)²
Area ≈ 3.14 * (4.5)²
Area ≈ 3.14 * 20.25
Area ≈ 63.585 square inches
To find the cost per square inch, we divide the total cost of the cheese by the area:
Cost per square inch = Total cost / Area
Cost per square inch = $18.60 / 63.585 square inches
Now, let's calculate the cost per square inch:
Cost per square inch ≈ $0.292 (rounded to the nearest cent)
Therefore, the cost per square inch for the 9-inch wheel of cheese is approximately $0.292.
To find the cost per square inch of the 9-inch wheel of cheese, we need to calculate the area of the wheel and then divide the cost by that area.
The formula to find the area of a circle is: A = πr², where A is the area and r is the radius.
Given that the wheel has a radius of 9 inches, we can calculate the area as follows:
A = π(9)²
A = π(81)
A ≈ 254.47 square inches (rounded to two decimal places)
To find the cost per square inch, we divide the total cost by the area:
Cost per square inch = Cost / Area
Cost per square inch = $18.60 / 254.47
Cost per square inch ≈ $0.073 (rounded to three decimal places)
Therefore, the cost per square inch of the 9-inch wheel of cheese is approximately $0.073.