MA 109 Study Guide - Final Guide: Ice Cream Cone
Artesia Payne-Watts
Written Project
MA 109
Stephen Deterding
November 20, 2017
1. The following argument that reads, “If you really did 13 gallons per hour, then the 10-foot cone
should have only taken 10/13 = 0.7 hours less than an hour tops. This argument is false. When it
comes to gallons and feet, these are both two different units of measurement. Gallons measure
volume which is a 2-dimensional area. For feet, it measures height and length which is a 1-
dimensional area. The two cannot be combined to form the hypothesis that the cone should
have only taken 0.7 hours.
2. Relating to the first question, “How do you convert gallons into feet?”, this cannot be answered
because of the same reasons from question number 1. Gallons cannot be converted into feet
because they are both different dimensions and they measure two completely different things.
Feet cubed can be converted to galloons.
3. Upon research, Joy, a company that specializes in making and selling regular size ice cream
cones, provided the measurements for a regular size cone. These measurements include the
mouth width = 2 5/8 inches, the inner diameter = 2 3/8 inches, and the height = 6 inches. To find
the volume of this cone, we will be using the volume of a right circular cone equation. This
equation is . To break down this equation, we can start by defining each symbol. The v in this
equation stands for volume, which is the dimension of measurement we will be using for this
problem. To follow, π is the pie symbol which is equal to 3.14. The radius is shown as r^2 or
radius to second power. Lastly, h stands for the height of the cone and it is being multiplied.
Going back to the original measurements, we only need two of the measurements provided by
the Joy Cone Company Ice Cream Cones, we only need the diameter and height to answer the
equation. The radius should just be half of the diameter. The final equation should look like
so, . The final volume of this ice cream cone is 8.86.
(Source ): https://www.webstaurantstore.com/joy-regular-size-ice-cream-waffle-cone-228-
case/711WAFCONERG.html
4. To find the relationship between the radius and the height, we can use the source from problem
#3. By finding the ratio or proportion between the height and radius of a regular size cone, we
can use the height and radius of the regular cone. The radius of our regular size cone was,
1.1875 and the height was 6inches tall. The ratio would be for this cone . .
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Document Summary
November 20, 2017: the following argument that reads, if you really did 13 gallons per hour, then the 10-foot cone should have only taken 10/13 = 0. 7 hours less than an hour tops. When it comes to gallons and feet, these are both two different units of measurement. Gallons measure volume which is a 2-dimensional area. For feet, it measures height and length which is a 1- dimensional area. Gallons cannot be converted into feet because they are both different dimensions and they measure two completely different things. Feet cubed can be converted to galloons: upon research, joy, a company that specializes in making and selling regular size ice cream cones, provided the measurements for a regular size cone. These measurements include the mouth width = 2 5/8 inches, the inner diameter = 2 3/8 inches, and the height = 6 inches.
