Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: The truncated right circular cone has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm. How many $\text{cm}^3$ are in the volume of this solid?  [asy]

import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;

draw(ellipse((0,0),4,1)); draw(ellipse((0,3),2,1/2));

draw((-3.97,.1)--(-1.97,3.1)^^(3.97,.1)--(1.97,3.1));

[/asy]
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