
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
What is the ratio of the volume of cone $C$ to the volume of cone $D$? [asy]
size(260);
draw(ellipse((0,0),16.4,6),S);
label("Cone $C$", (0,-6), S);
draw((0,32.8)--(0,0),dashed);
label("$32.8$",(0,16),SW);
draw((-16.4,0)--(0,32.8)--(16.4,0));
draw("$16.4$",(-16.4,0)--(0,0),N,dashed);
draw(ellipse((50,0),32.8,6),S);
label("Cone $D$", (50,-6), S);
draw((17.2,0)--(50,16.4)--(82.8,0));
draw("$16.4$",(50,16.4)--(50,0),W,dashed);
draw("$32.8$", (17.2,0)--(50,0),N,dashed);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user