Question

A snack stand serves shaved ice in cone shaped containers and cylindrical containers. Which container gives you more shaved ice for your money? Explain.

Answer 1

The cone container

Explanation:

The volume of the cone is (pi r² h)/3

3.14•4²•6/3 = 100.48 ≈ 100

The volume of the cylinder is pi r² h

3.14•4²•6 = 301.44 ≈ 301

The cone is 3.25, and have 100 in³ of volume, so:

100/3.25 = 30.77 in³ per dollar

The cylinder is 4.75 and have 301 in³ of volume, so:

301/4.75 = 63.37 in³ per dolar

So, the cone container gives you more shaved ice