Two spherical canaloupes of the same kind are sold at a fruit and vegetable stand. The circumference of one is 60 cm and that of the other is 50 cm. The larger melon is 1 1/2 times as expensive as the smaller. Which melon is the better buy and why?

2 answers

change C to radius. C=2PI r

r= C/2PI

Now volume is 4/3 PI r^3

and you are looking for the cost per volume, you want it low.

Melon1: Cost/V=1.5/(4/3 PI (60/2PI)^3)

Melon2: Cost/v= 1/(4/3 PI (50/2PI)^2)

so

comparing cost/volume for melon1 divided by cost/volume for melon2

ratio: 1.5*(50/60)^3 If that is above 1.0, then the best buy has to be melon 2.
If it is below, Melon 1 is the best buy.
Think about that
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