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Drag the tiles to the boxes to form correct pairs.

At a railway yard, locomotives are used to haul containers carrying oil. A locomotive is chosen according to the volume of oil it can haul, as shown in the table below.

\begin{tabular}{|l|l|}
\hline Locomotive & Capacity \\
\hline A450 & [tex]$0-750$[/tex] cubic feet \\
\hline CG35 & [tex]$750-1,500$[/tex] cubic feet \\
\hline BR73 & [tex]$1,500-2,500$[/tex] cubic feet \\
\hline YH61 & [tex]$2,500-3,500$[/tex] cubic feet \\
\hline
\end{tabular}

The four cylindrical containers listed in the table need to be hauled.

\begin{tabular}{|l|c|c|l|}
\hline Cylinder & Length (ft.) & Diameter (ft.) & Fill Level \\
\hline A & 40 & 12 & half \\
\hline B & 24 & 8 & full \\
\hline C & 16 & 16 & full \\
\hline D & 6 & 12 & full \\
\hline
\end{tabular}

Match each container to the locomotive needed to haul it.

A450: cylinder [tex]$A$[/tex] \\
CG35: cylinder [tex]$B$[/tex] \\
BR73: cylinder [tex]$C$[/tex] \\
YH61: cylinder [tex]$D$[/tex]

Sagot :

GinnyAnswer
Sure, let's match each cylinder to the appropriate locomotive based on the volume of oil they contain.

### Step-by-Step Solution:

1. Calculate the volume of each cylinder:
- Cylinder A:
- Length = 40 ft, Diameter = 12 ft, Fill Level = half (0.5)
- Volume = 2261.95 cubic feet

- Cylinder B:
- Length = 24 ft, Diameter = 8 ft, Fill Level = full (1.0)
- Volume = 1206.37 cubic feet

- Cylinder C:
- Length = 16 ft, Diameter = 16 ft, Fill Level = full (1.0)
- Volume = 3216.99 cubic feet

- Cylinder D:
- Length = 6 ft, Diameter = 12 ft, Fill Level = full (1.0)
- Volume = 678.58 cubic feet

2. Determine the locomotive for each cylinder based on capacity:

- For Cylinder A:
- Volume = 2261.95 cubic feet
- Locomotive Capacity Range: BR73 (1,500-2,500 cubic feet)
- Locomotive: BR73

- For Cylinder B:
- Volume = 1206.37 cubic feet
- Locomotive Capacity Range: CG35 (750-1,500 cubic feet)
- Locomotive: CG35

- For Cylinder C:
- Volume = 3216.99 cubic feet
- Locomotive Capacity Range: YH61 (2,500-3,500 cubic feet)
- Locomotive: YH61

- For Cylinder D:
- Volume = 678.58 cubic feet
- Locomotive Capacity Range: A450 (0-750 cubic feet)
- Locomotive: A450

### Matching Cylinders to Locomotives:

- A450: Cylinder D
- CG35: Cylinder B
- BR73: Cylinder A
- YH61: Cylinder C

Here are the correct pairs:
- A450 → Cylinder D
- CG35 → Cylinder B
- BR73 → Cylinder A
- YH61 → Cylinder C

Fill out and drag the tiles accordingly:

1. A450 to Cylinder D
2. CG35 to Cylinder B
3. BR73 to Cylinder A
4. YH61 to Cylinder C
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