You are starting a Shaved Ice business and need to decide on a cup. Your choices are between a cone and a cylindrical shaped cup.


The cone shaped cup has a diameter of 3.25 inches and is 3.75 inches tall.

The cylindrical cup has a diameter of 4 inches and height of 4.75 inches.

The spherical scoop you have chosen has a diameter of 2.75 inches.

Which cup should you choose if you want two scoops of ice to best fit in the cup?


Your submission should include the following:

1. All calculations for the volume of the cone, to include the formula used.
   
2. All calculations for the volume of the cup, to include the formula used.
   
3. All calculations for the volume of the scoop, to include the formula used.
   
4. Recommendation of cup selection with justification for your choice.