Final answer:
It will cost $2,663.94 to fill the silo with oats.
Step-by-step explanation:
To calculate the cost of filling the silo with oats, we need to find the volume of the silo first. Since the silo is in the shape of a cone, we can use the formula V= 1/3 πr²h, where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get V= 1/3 × 3.14 × (2m)² × 12m = 50.24m³. This means that the silo has a volume of 50.24 cubic meters. Now, we need to find the cost of oats per cubic meter. Given that oats cost $98 per cubic meter, we can multiply the cost by the volume of the silo to get the total cost. Therefore, the final answer is $98 × 50.24m³ = $2,663.94.
To further explain this calculation, we can break it down into two steps. First, we find the cost of one cubic meter of oats by multiplying the cost per cubic meter ($98) by the volume of one cubic meter (1m³). This gives us the cost of oats per cubic meter, which is $98. Next, we multiply this cost by the total volume of the silo (50.24m³) to get the total cost of filling the silo with oats, which is $2,663.94. In conclusion, to calculate the cost of filling a silo with oats, we need to find the volume of the silo and multiply it by the cost of oats per cubic meter. This gives us the final answer of $2,663.94.