A 6 inch personal pizza has 570 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.

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aachen

Answer:

506.67 calories

Step-by-step explanation:

Given: A 6 inch personal pizza has 570 calories.

To find: The number of calories in one slice of a 16 inch pizza.

Solution: Area of 6 inches pizza is [tex]\pi (3)^{2}=9\pi[/tex]

So, [tex]9\pi =570[/tex] calories

In [tex]\pi =\frac{570}{9}[/tex] calories

Now, area of 16 inches pizza [tex]=\pi (8)^{2=64\pi}[/tex]

Now 16 inches of pizza is divided into 8 slices, so 8 slices of pizza will have [tex]64\times\frac{570}{9}[/tex] calories.

So, 1 slice

[tex]=\frac{570}{9} \times\frac{64}{8}[/tex]

[tex]=\frac{190}{3}\times8[/tex]

[tex]=\frac{1520}{3}[/tex]

[tex]=506.67[/tex] calories

Hence, 1 slice of 16 inches pizza will have 506.67 calories.

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