https://file.aiquickdraw.com/mathbot/file/1721318977636u5huvpzs.png

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How much water would fill the cylindrical tank shown in the picture? (Use 3.14 for 𝜋)

To find the amount of water that would fill the cylindrical tank, we need to calculate the volume of the cylinder. The formula for the volume \( V \) of a cylinder is:

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

where:
- \( r \) is the radius of the base of the cylinder.
- \( h \) is the height of the cylinder.
- \( \pi \) is approximately 3.14.

From the given image:
- The diameter of the cylinder is 9 inches, so the radius \( r \) is half of the diameter:
  \[ r = \frac{9}{2} = 4.5 \text{ inches} \]
- The height \( h \) of the cylinder is 12 inches.

Now we can plug these values into the volume formula:

\[ V = 3.14 \times (4.5)^2 \times 12 \]

First, calculate \( (4.5)^2 \):

\[ (4.5)^2 = 20.25 \]

Then, multiply by \( \pi \) and the height:

\[ V = 3.14 \times 20.25 \times 12 \]

Perform the multiplication step by step:

\[ 3.14 \times 20.25 = 63.585 \]
\[ 63.585 \times 12 = 763.02 \]

So, the volume of the cylindrical tank is \( 763.02 \) cubic inches.

Therefore, the cylindrical tank would hold \( 763.02 \) cubic inches of water.

Would you like further details or have any questions?

Here are five numbered questions you might ask:

1. How do you convert cubic inches to gallons?
2. What is the surface area formula for a cylinder?
3. How do you calculate the volume of a rectangular prism?
4. Can you explain how to find the lateral area of a cylinder?
5. What is the formula for the volume of a cone?

**Tip:** When working with volume calculations, ensure you use consistent units for all measurements and understand the shape's specific formula.

Learn how to calculate the volume of water that fills a cylindrical tank with a diameter of 9 inches and a height of 12 inches using the formula V = πr^2h. Detailed explanation with calculations included.

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