Question

If a personal pan pizza (6 inches in diameter) has 600 calories, how many calories would you consume if you were to eat a large size pizza (12 inches) by yourself? Assume both pizzas have the same crust depth.

Answer 1

2400 calories

Step-by-step explanation:

given,

diameter of pizza,d₁ = 6 inches

calories of the 6 inches pizza = 600 calories

diameter of large size of pizza, d₂ = 12 inches

calories of the 12 inches pizza = ?

Area of the 6 inches pizza

A₁ = π x 3² = 9 π

Area of the 12 inches pizza

A₂ = π x 6² = 36 π

Ratio of 12 inch pizza to 6 inches

=
`(36\pi)/(9\pi)`

=
`(4)/(1)`

calories of the pizza

`(x)/(600)=(4)/(1)`

x = 2400 calories

Pizza of 12 inches is of calories is equal to 2400 calories