https://file.aiquickdraw.com/mathbot/file/17253908693909apuenxm.jpg

To solve the problem, let's break it down step by step:

### Problem Details:
- The tank is a cylinder, half-filled with oil.
- The base radius of the cylinder \( r = 80 \) cm.
- The height of the cylinder \( h = 250 \) cm.
- 1 litre \( = 1000 \, \text{cm}^3 \).

### Step 1: Calculate the Volume of the Full Cylinder
The volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
Substituting the values:
\[
V = \pi (80)^2 (250)
\]
\[
V = \pi \times 6400 \times 250
\]
\[
V = 1,600,000 \pi \, \text{cm}^3
\]

### Step 2: Calculate the Volume of Oil in the Tank
Since the tank is half-full:
\[
\text{Volume of oil} = \frac{1,600,000 \pi}{2} \, \text{cm}^3 = 800,000 \pi \, \text{cm}^3
\]

### Step 3: Convert the Volume from Cubic Centimeters to Litres
To convert from cubic centimeters to litres:
\[
\text{Volume in litres} = \frac{800,000 \pi}{1000} = 800 \pi \, \text{litres}
\]

### Step 4: Calculate and Round the Answer
Now, let's calculate \( 800 \pi \) and round it to the nearest litre:
\[
800 \pi \approx 800 \times 3.1416 \approx 2513.274
\]

So, the number of litres of oil in the tank, rounded to the nearest litre, is **2513 litres**.

Would you like more details or have any questions?

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Here are 5 relative questions to expand your understanding:

1. How would the volume change if the cylinder were filled to the top?
2. What would be the volume of the oil if the radius were doubled?
3. How does the height of the cylinder impact the volume of the oil?
4. Can you derive the formula for the volume of a cylinder?
5. How would the calculation change if the tank were one-third full instead of half-full?

**Tip:** Always make sure to convert all measurements to the same units before performing any calculations to avoid errors.

A cylindrical tank is half-full of oil. The cylinder has a base radius of 80 cm. The height of the cylinder is 250 cm. 1 litre = 1000 cm³. How many litres of oil are in the tank? Round your answer to the nearest litre.

Find out how to calculate the volume of oil in a half-full cylindrical tank with a base radius of 80 cm and height of 250 cm. The problem involves geometry, volume calculation, and unit conversion. Ideal for students in Grades 7-10.

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