Question

Chef Pisghetti wants to make an extra large cheesy pizza for George. The pizza will have a diameter of 18 inches. Each bag of cheese covers 25 square inches. How many bags of cheese does he need to buy?

Answer 1

Answer: Chef Pisghetti needs to buy 11 bags of cheese to cover the pizza.

Explanation:

To determine how many bags of cheese Chef Pisghetti needs, we need to calculate the area of the pizza and divide it by the area that one bag of cheese covers.

The area
`\( A \)` of a circle is calculated with the formula
`\( A = \pi r^2 \)`, where \( r \) is the radius of the circle. Since the diameter of the pizza is 18 inches, the radius
`\( r \)` is half of that, which is 9 inches.

`\[ A = \pi r^2 = \pi * 9^2 = \pi * 81 \]`

`\[ A = 81\pi \]`

Now, we'll approximate
`\( \pi \)` as 3.14159 and calculate the area.

`\[ A ≈ 81 * 3.14159 ≈ 254.469 \text{ square inches} \]`

Next, we divide the total area by the area that one bag of cheese covers, which is 25 square inches per bag.

`\[ \text{Number of bags} = (254.469)/(25)` ≈ 10.179

Since Chef Pisghetti can't buy a fraction of a bag, he needs to round up to the nearest whole number.