6 inch pizza has 590 calories A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza.

Question

how many calories are in one slice of pizza

Answer 1

The inches in the size of a pizza are the diameter of a circle.

The formula for the area of a circle is:  πr² = π(d/2)²

 

Assume that the calories of a pizza are uniformly distributed throughout the area of the pizza (even though we know there is a crust ring around the outsize).  For example, C calories per square inch.

 

The calories for a 6-inch pizza are:   CA₆ = Cπ(6/2)² = 9Cπ = 590     [eq1]

 

The calories for a 16-inch pizza are:    CA₁₆ = Cπ(16/2)² = 64Cπ

     The calories for one of 8 slices of that pizza are:  X = CA₁₆/8 = 8Cπ    [eq2]

 

The math:

       Cπ = 590/9      [from eq1]

 

       X = 8(Cπ)              [eq2]

       X = 8(590/9)

       X = 524            [estimated]

 

There are approximately 524 calories in one of eight slices of a 16-inch pizza (note: this makes good sense since it has a little less than the area as a complete 6-inch pizza).

 

 

Answer 2

Hi Brandon, we can estimate the number of calories in a 16 inch pizza by the following proportion:

 

590 / 6 = x / 16, where x represents the number of calories in the 16 inch pizza.

 

Solving for x, we get  x ≈ 1573.33 calories.

 

To find the calories in one slice of the 16 inch pizza, divide the total number of calories by 8.

 

1573.33 / 8 ≅ 196.67 calories in one slice of the 16 inch pizza.

 

Questions?