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At Joe's Pizza a 16 inch diameter pizza and a 12-inch-diameter pizza cost the same per square inch of top surface area. If the cost of a large pizza is 9.60, what is the cost, in dollars, of the small pizza?

Respuesta :

MechEngineer

Answer:

5.4

Step-by-step explanation:

Surface area of the large 16 in diameter pizza is

[tex]A = \pi(d/2)^2 = \pi8^2 = 64\pi[/tex]

Cost per unit surface area is

[tex]c = \frac{9.6}{64\pi} = \frac{0.15}{\pi}[/tex]

Surface area of the small 12-in diameter pizza is

[tex]a = \pi(12/2)^2 = \pi6^2 = 36\pi[/tex]

So the total cost for that much surface area of pizza is

[tex]ac = 36\pi*\frac{0.15}{\pi} = 5.4[/tex]

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