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 \(\pi (3)^{2}=9\pi\)
So, \(9\pi =570\) calories
In \(\pi =\frac{570}{9}\) calories
Now, area of 16 inches pizza \(=\pi (8)^{2=64\pi}\)
Now 16 inches of pizza is divided into 8 slices, so 8 slices of pizza will have \(64\times\frac{570}{9}\) calories.
So, 1 slice
\(=\frac{570}{9} \times\frac{64}{8}\)
\(=\frac{190}{3}\times8\)
\(=\frac{1520}{3}\)
\(=506.67\) calories
Hence, 1 slice of 16 inches pizza will have 506.67 calories.
