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Question 1: The town of Palooza, Maryland is known for its abundant grain crops. Many of the farmers store their grain harvest in these hoppers shown below. If filled to capacity, how much grain can each hopper hold?
Show work here:

Question $1$ : The town of Palooza, Maryland is known for its abundant grain crops. Many of the farmers store their grain harvest in these hoppers shown below. If filled to capacity, how much grain can each hopper hold? $\newline$ Show work here:

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Identify quotients of rational numbers: word problems

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Q. Question

1

: The town of Palooza, Maryland is known for its abundant grain crops. Many of the farmers store their grain harvest in these hoppers shown below. If filled to capacity, how much grain can each hopper hold?

\newline

Show work here:

Calculate Hopper Volume: First, we need to know the volume of the hopper to determine how much grain it can hold. Let's assume the problem gives us the dimensions of the hopper.
Use Cylinder Formula: Let's say the hopper is in the shape of a cylinder and the problem provides us with the radius and height. If the radius is $2$ meters and the height is $5$ meters, we use the formula for the volume of a cylinder: $V = \pi r^2 h$ .
Plug in Dimensions: Now we plug in the numbers: $V = \pi \times (2 \, \text{meters})^2 \times 5 \, \text{meters}$ .
Calculate Volume: Calculating that gives us: $V = 3.14 \times 4 \times 5 = 3.14 \times 20$ .
Convert to Bushels: So the volume is $V = 62.8$ cubic meters.
Final Calculation: But wait, we need to convert cubic meters to a unit that measures grain, like bushels. If $1$ cubic meter equals $28.377$ bushels, we multiply $62.8$ cubic meters by $28.377$ bushels/cubic meter.
Final Calculation: But wait, we need to convert cubic meters to a unit that measures grain, like bushels. If $1$ cubic meter equals $28.377$ bushels, we multiply $62.8$ cubic meters by $28.377$ bushels/cubic meter.The calculation is $62.8 \times 28.377 = 1782.3856$ bushels.

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