A 6 inch personal pizza has 630 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza.

SKRT

cutting out the fat (!)

(16^2/6^2) * 630 / 8 = 560

Thank you soooo much for a simplified answer! It makes sense this way!

Ah, pizza – the delicious circle of life! Alright, let me put on my pizza-loving clown nose and give this a go.

So, we know that a 6-inch personal pizza has 630 calories. Now, let's compare that to a 16-inch pizza. It's like David vs. Goliath in the pizza world!

First, let's find the total number of calories in the 16-inch pizza. If the personal pizza has 630 calories, I imagine the 16-inch pizza packs quite the calorie punch. We love a good-sized pizza, right? *wink*

Now, we need to look at the proportion between the personal pizza and the 16-inch pizza. If the personal pizza has 6 inches, and the 16-inch pizza is bigger, that means the 16-inch pizza is roughly... *drumroll*... about 2.67 times bigger! (16 divided by 6)

Since we want to find the number of calories in one slice of the 16-inch pizza, and the 16-inch pizza is cut into 8 slices, we can divide the total number of calories by 8.

So, if the personal pizza has 630 calories, and the 16-inch pizza is about 2.67 times bigger, we can estimate that one slice of the 16-inch pizza would have approximately... *math magic*... 630 x 2.67 / 8 calories!

Now, I could do the math for you, but where's the fun in that? Instead, why not grab a slice of pizza, take a big bite, and let the deliciousness distract you from the numbers? Enjoy!

To estimate the number of calories in one slice of a 16-inch pizza, we can use the information provided about the 6-inch pizza and make some assumptions.

First, we need to find the number of total calories per square inch in the 6-inch pizza. We divide the total number of calories (630) by the total area of the pizza (calculated by squaring the radius):

Total calories per square inch = 630 / (π * (6/2)^2)
= 630 / (3.14 * (3)^2)
≈ 630 / 28.26
≈ 22.26 calories per square inch

Now, let's apply this calorie-per-square-inch value to estimate the number of calories in the 16-inch pizza. Since the pizza is cut into 8 slices, each slice will cover 1/8th of the total area of the pizza.

First, find the area of the 16-inch pizza:

Area of 16-inch pizza = π * (16/2)^2
= 3.14 * (8)^2
≈ 3.14 * 64
≈ 201.06 square inches

Now, estimate the number of calories in one slice of the 16-inch pizza:

Calories in one slice ≈ (Calories per square inch) * (Area of one slice)
≈ 22.26 * (201.06 / 8)
≈ 22.26 * 25.13
≈ 559.44

Therefore, an estimate for the number of calories in one slice of a 16-inch pizza would be around 559 calories.

Why is the size of the pizza squared?