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We need to calculate the total cost to fill the silo completely.

The silo consists of two parts:
- A cylinder
- A cone

The formula for the volume of the entire silo is given as:

\[
V = \pi r^2 \left(\frac{h}{3} + c\right)
\]

Where:
- \(r = 1.5 \, \text{m}\) (radius of both the cone and the cylinder),
- \(h = 1.2 \, \text{m}\) (height of the cone),
- \(c = 6 \, \text{m}\) (height of the cylinder).

We'll follow these steps:
1. Calculate the total volume of the silo.
2. Determine the volume already filled (35% of the total volume).
3. Calculate the remaining volume to be filled (65% of the total volume).
4. Multiply the volume to be filled by the cost per cubic meter (£353 per cubic meter).

Let's first calculate the total volume. I'll start by doing that now.1. The total volume of the silo is approximately \( 45.24 \, \text{m}^3 \).
2. The volume that needs to be filled is \( 65\% \) of this, which is approximately \( 29.41 \, \text{m}^3 \).
3. The total cost to fill the silo completely is approximately **£10,380.07**.

Would you like more details or have any questions? Here are a few related questions to further your understanding:

1. How would the total cost change if the radius or height of the silo were different?
2. How do we derive the formula for the volume of a cone and a cylinder?
3. What would be the cost if the silo was filled with a different percentage of fertilizer?
4. How would the problem change if the cost per cubic meter was provided in a different currency?
5. How can this formula be adapted for a silo with a different geometric shape?

**Tip**: Understanding how to break down composite shapes into simpler parts (like cylinders and cones) helps when calculating volumes for real-world objects!

Angela is a farmer. She stores fertiliser in a silo. The silo is in the shape of a cylinder on top of a cone. 35% of the volume of the silo is filled with fertiliser. Angela needs to fill the silo completely. Angela knows that fertiliser costs £353 per m³. Work out the total cost to fill the silo completely.

Learn how to calculate the total cost to fill a silo that is in the shape of a cylinder on top of a cone. This problem involves calculating the volume of composite shapes, understanding percentages, and determining costs based on volume.

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