Question

calculate how many litres of milk this truck is carrying. its containers dimensions are as follows:

(r = 121\text{ cm}, l = 410\text{ cm})

hint: 1 litre is (1000\text{ cm}^3).

Explanation:

Identify the container shape and given dimensions

The milk truck carries a cylindrical container.
The given dimensions are:

• Radius \(r = 121\text{ cm}\)
• Length (height) \(L = 410\text{ cm}\)

Recall the volume formula for a cylinder

The volume \(V\) of a cylinder is calculated using:

$$V = \pi r^2 L$$

Calculate the volume in cubic centimeters

Substitute the given values into the formula:

$$V = \pi \times (121\text{ cm})^2 \times 410\text{ cm}$$

$$V = \pi \times 14641 \times 410\text{ cm}^3$$

$$V \approx 3.14159265 \times 6002810\text{ cm}^3$$

$$V \approx 18858375.4\text{ cm}^3$$

Convert the volume to litres

Using the hint that \(1\text{ litre} = 1000\text{ cm}^3\):

$$\text{Volume in litres} = \frac{V}{1000}$$

$$\text{Volume in litres} \approx \frac{18858375.4}{1000} \approx 18858.4\text{ litres}$$

Answer:

Approximately \(18858.4\text{ litres}\) (or \(18858\text{ litres}\) rounded to the nearest whole number).