1. **State the problem:** We need to find the volume of a megaphone shaped like a cone with a height of 8 inches and a base radius of 9 inches.
2. **Formula for the volume of a cone:**
$$V = \frac{1}{3} \pi r^2 h$$
where $r$ is the radius and $h$ is the height.
3. **Substitute the given values:**
$$V = \frac{1}{3} \pi (9)^2 (8)$$
4. **Calculate the squared radius:**
$$9^2 = 81$$
5. **Plug in the squared radius:**
$$V = \frac{1}{3} \pi \times 81 \times 8$$
6. **Multiply 81 and 8:**
$$81 \times 8 = 648$$
7. **Simplify the fraction:**
$$V = \frac{1}{3} \pi \times 648 = \pi \times \cancel{\frac{1}{3} \times 648} = \pi \times 216$$
8. **Calculate the volume:**
$$V = 216 \pi \approx 216 \times 3.1416 = 678.58$$
9. **Round to the nearest tenth:**
$$678.6 \text{ cubic inches}$$
**Final answer:** The volume of the megaphone is approximately $678.6$ cubic inches.
Megaphone Volume Cbdba4
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