Marta went to the farmer's market to buy oranges. The oranges that are 3 inches in diameter cost 25 cents per dozen. The oranges that are 4 inches in diameter are 50 cents per dozen. Marta chose the 3-inch oranges. Did she make the more economical decision? Explain your answer?

Answer: no

Step-by-step explanation:

If we consider the volume of each orange (we have considered the orange as a perfect sphere)

we have the volume = (4/3) * π R^3 where is the orange radius

for 3 inch diameter de volume is = 1.33*3.1415*3.37 inch^3

for 4 inch diameter de volume is = 1.33*3.1415*8 inch^3

Taking into account a dozen of oranges we have to multiplier by 12 both orange volume are:

V dozen 3-inch = 40.44 inch^3 (paying 25 cent)

V dozen 4-inch = 96.00 inch^3 (paying 50 cent)

If she want to buy more that one dozen is economical better choose the 4 inch oranges