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.