A 6 inch personal pizza has 620 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.

Question

Round your answer to the nearest calorie.

Answer 1

12 in pizza is usually 11.81 in wide = 30 cm

6 in pizza has a 15 cm diameter

16 in pizza has a (16/6)15 = 8(15/3 = 40 cm diamter

16 in pizza has area = pi(20^2) = 400pi cm^2

6 in pizza has area = pi(15^2) = 225pi cm^2

It's a 225/400 ratio = 9/16 ratio of 6 in to 16 in

c/620 = 16/9

c= 620(16/9) calories in a 16 inch pizza = 1102 2/9 calories

in one slice, when sliced in 8 slices, divide by 8

620(16)/9(8) = 620(2/9)= 1240/9 = 137 7/9 calories per slice