https://file.aiquickdraw.com/mathbot/file/1723620674756fy7rzmmh.jpg

Mesin pembahagi air dipasang dengan botol air minuman berbentuk silinder seperti rajah Berapakah isi padu maksimum air boleh diisi dalam botol tersebut? (Gunakan 𝜋 = 22/7 , Rumus isi padu silinder = 𝜋𝑗2𝑡)

To calculate the maximum volume of water that can be filled in the cylindrical water bottle, we can use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \(V\) is the volume,
- \(r\) is the radius of the cylinder,
- \(h\) is the height of the cylinder.

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

We are given \( \pi = \frac{22}{7} \).

Now, substitute these values into the volume formula:

\[
V = \frac{22}{7} \times 10^2 \times 45
\]

Let's calculate this step by step.

1. Calculate \( 10^2 = 100 \).
2. Multiply \( 100 \times 45 = 4500 \).
3. Multiply \( \frac{22}{7} \times 4500 \).

\[
V = \frac{22 \times 4500}{7} = \frac{99000}{7} \approx 14142.86 \text{ cm}^3
\]

So, the maximum volume of water that can be filled in the bottle is approximately \( 14142.86 \) cm³.

Would you like any further details or explanations?

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Here are 8 related questions you might find interesting:

1. How do you convert the volume of the cylinder from cubic centimeters to liters?
2. What would be the volume if the radius was 15 cm instead?
3. How does changing the height affect the volume of a cylinder?
4. What is the formula for the surface area of a cylinder?
5. How would you calculate the volume of a cylinder if the diameter was given in meters?
6. How would you calculate the volume if the cylinder had a conical top?
7. What happens to the volume if both the height and radius are doubled?
8. How do you find the height of a cylinder if the volume and radius are given?

**Tip:** Always double-check the units when performing calculations to ensure accuracy, especially in practical applications.

Learn how to calculate the maximum volume of water that can be filled in a cylindrical water bottle using the formula for the volume of a cylinder. Detailed step-by-step solution with practical application of π = 22/7. Suitable for Grades 7-9 students.

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