1. **State the problem:** We need to find the cost to fill a conical silo with rice. The silo has a height $h=7$ meters and a base radius $r=1.5$ meters. Rice costs 204 per cubic meter.
2. **Formula for the volume of a cone:**
$$V = \frac{1}{3} \pi r^2 h$$
3. **Substitute the given values:**
$$V = \frac{1}{3} \times 3.14 \times (1.5)^2 \times 7$$
4. **Calculate the radius squared:**
$$1.5^2 = 2.25$$
5. **Calculate the volume:**
$$V = \frac{1}{3} \times 3.14 \times 2.25 \times 7$$
6. **Multiply the constants:**
$$3.14 \times 2.25 = 7.065$$
7. **Continue volume calculation:**
$$V = \frac{1}{3} \times 7.065 \times 7$$
8. **Multiply 7.065 by 7:**
$$7.065 \times 7 = 49.455$$
9. **Divide by 3:**
$$V = \frac{\cancel{49.455}}{\cancel{3}} = 16.485$$
10. **Calculate the cost to fill the silo:**
$$\text{Cost} = 16.485 \times 204 = 3364.74$$
**Final answer:** The cost to fill the silo with rice is 3364.74.
Cone Volume Cost 0Ebd93
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