Posted by **Anonymous** on Thursday, April 12, 2012 at 4:16am.

Two spherical cantaloupes 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?

change C to radius. C=2PI r

r= C/2PI

Now volume is 4/3 PI r^3

- math -
**Steve**, Thursday, April 12, 2012 at 11:25am
ratio of circumference: 60/50 = 1.2

ratio of volumes: 1.2^3 = 1.728

ratio of costs: 1.5

so, since volume has gone up more than cost, the larger is a better buy.

Of course, the thickness of the rind will also be a factor. Good luck - gotta buy it before you can cut it open.

Extra credit: what rind thickness (as a % of diameter) will make them equal value?

## Answer this Question

## Related Questions

- math - two spherical cantaloupes of the same kind are sold at a fruit and ...
- geometry - Two spherical canaloupes of the same kind are sold at a fruit and ...
- math - Here's an algebra question I need help on. I just need someone to explain...
- Finite MAth - Assume that you have 6 different types of vegetables and 9 ...
- Math - At whole foods market 5/6 of the vendors sell vegetable and 2/4 sell ...
- Math - Please help! Jack has a mixed fruit pie. There is a variety of fruits (17...
- Algebra - A roadside vegetable stand sells pumpkins for $5 each and squash for $...
- Circumference - Find the circumference and area of cirlce with a radius of 3 ...
- College Algebra - Consider two circles. A smaller one and a larger one. If the ...
- math - the table shows the type and number of pieces of each of the first 20 ...

More Related Questions