Casio fx-CG10 Advanced Operation Manual page 10

Sample Solution—Homemade Waffle Cones
f. What would be the dimensions of the cone that has a maximum volume?
Since the arc length of the cone, with a maximum volume, is approximately
12.1 cm, we need to substitute this into the expressions from parts b and c to
determine the radius and the height of this cone. Recall, from part a, we know
the slant height is 10.5 centimeters.
We chose to enter the equations from parts b and c into the Table mode of
the calculator to approximate the dimensions of the cone with maximum
volume, as follows:
The radius and the height of the cone are approximately 8.6 and 6.1
centimeters, respectively.
g. Do you recommend the scholarship committee make waffle cones with these
dimensions? Why or why not?
If the goal is to make waffle cones with the greatest volume, the committee
should make the waffle cones with these dimensions. However, students may
also want to discuss if these dimensions result in a cone that "fits" the human
hand. Some containers are manufactured to be easy for the consumer to
handle or use, and others are manufactured with the goal of being
aesthetically appealing.
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