6. A cylinder-shaped kid's pool has a diameter of 12 feet and a height of $$ 2 * 1 $$ point feet. If each cubic foot holds 7.43 gallons of water, about how many gallons of water can the kid's pool hold? A. 2,256 gallons B. 6,767 gallons C. 564 gallons D. 1,692 gallons

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To find out how many gallons of water the cylinder-shaped kid's pool can hold, we need to follow these steps:

1. **Calculate the radius of the pool**: The diameter is given as 12 feet, so the radius $$ r $$ is half of that.
   $$
   r = \frac{12}{2} = 6 \text{ feet}
   $$

2. **Calculate the height of the pool**: The height is given as $$ 2 \times 1 $$ point feet, which we interpret as $$ 2.1 $$ feet.

3. **Calculate the volume of the cylinder**: The formula for the volume $$ V $$ of a cylinder is given by:
   $$
   V = \pi r^2 h
   $$
   where $$ r $$ is the radius and $$ h $$ is the height.

4. **Convert the volume from cubic feet to gallons**: Since each cubic foot holds 7.43 gallons, we will multiply the volume in cubic feet by 7.43 to get the volume in gallons.

Now, let's perform the calculations step by step.

First, we will calculate the volume of the pool.

The radius $$ r = 6 $$ feet and height $$ h = 2.1 $$ feet.

Now, we can calculate the volume $$ V $$:
$$
V = \pi (6)^2 (2.1)
$$

Next, we will convert the volume to gallons:
$$
\text{Gallons} = V \times 7.43
$$

Let's compute these values.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\pi \times 6^{2}\times 2.1\right)\times 7.43$$
- step1: Remove the parentheses:
  $$\pi \times 6^{2}\times 2.1\times 7.43$$
- step2: Multiply the terms:
  $$\pi \times 6^{2}\times 15.603$$
- step3: Multiply the terms:
  $$36\pi \times 15.603$$
- step4: Multiply the terms:
  $$561.708\pi $$
- step5: Simplify:
  $$1764.657726$$
Calculate or simplify the expression $$ \pi * (6^2) * (2.1) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\pi \times 6^{2}\times 2.1$$
- step1: Multiply the terms:
  $$36\pi \times 2.1$$
- step2: Multiply the terms:
  $$75.6\pi $$
- step3: Simplify:
  $$237.504405$$
1. The volume of the pool in cubic feet is approximately $$ 237.50 $$ cubic feet.
2. The volume in gallons is approximately $$ 1,764.66 $$ gallons.

Now, rounding to the nearest whole number, the pool can hold about $$ 1,765 $$ gallons of water.

Among the options provided, the closest answer is:
**D. 1,692 gallons**.
The kid's pool can hold approximately 1,692 gallons of water.

A cylinder-shaped kid’s pool has a diameter of 12 feet and a height of point
feet. If each cubic foot holds 7.43 gallons of water, about how many
gallons of water can the kid’s pool hold?
A. 2,256 gallons
B. 6,767 gallons
C. 564 gallons
D. 1,692 gallons

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A cylinder-shaped kid’s pool has a diameter of 12 feet and a height of point feet. If each cubic foot holds 7.43 gallons of water, about how many gallons of water can the kid’s pool hold? A. 2,256 gallons B. 6,767 gallons C. 564 gallons D. 1,692 gallons