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What is the maximum volume of water

that can be filled in such a bottle? (Use π = 22/7, Formula for the volume of a cylinder = πr²h)

А. 14,142.86 cm³

В. 31,821.43 cm³

С. 56,571.43 cm³

D. 127,285.71 ст³

To find the maximum volume of water that can be filled in the bottle, we need to calculate the volume of the cylinder using the given formula:

\[
\text{Volume of a cylinder} = \pi r^2 h
\]

where:
- \( \pi = \frac{22}{7} \)
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder

From the image:
- The diameter of the bottle is \(20 \, \text{cm}\), so the radius \( r = \frac{20}{2} = 10 \, \text{cm} \)
- The height \( h = 45 \, \text{cm} \)

Let's calculate the volume.The maximum volume of water that can be filled in the bottle is approximately **14,142.86 cm³**.

The correct answer is **A. 14,142.86 cm³**.

Would you like a detailed breakdown of this calculation or have any further questions?

### Related Questions:
1. What would be the volume if the diameter was doubled?
2. How would the volume change if the height was increased to 60 cm?
3. How does the choice of π value (3.14 vs. 22/7) affect the volume calculation?
4. What is the surface area of this cylindrical bottle?
5. How do you calculate the volume of a cone?

### Tip:
Remember that the volume formula for a cylinder relies heavily on the square of the radius; small changes in the radius result in larger changes in the volume.

What is the maximum volume of water that can be filled in such a bottle? (Use π = 22/7, Formula for the volume of a cylinder = πr²h)

Find out how to calculate the maximum volume of water that can be filled in a cylindrical bottle using the formula for the volume of a cylinder (πr²h). The problem provides an example with a diameter of 20 cm and a height of 45 cm, suitable for students in Grades 6-8.

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