cylinder jar: is The height is 10.91 inches, width is 7.99 inches and length is 7.87 inches.  Find volume, assume that the top part of the jar diameter is 5.99

To calculate the volume of the jar, we first need to clarify that the shape is a cylinder. The key information includes the height and diameter. The length and width you provided might suggest dimensions for a non-cylindrical part of the jar, but I will assume that the cylindrical shape has a diameter of 5.99 inches and the height of the cylinder is 10.91 inches.

### Formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
Where:
- \(r\) is the radius of the base,
- \(h\) is the height of the cylinder,
- \(\pi\) is a constant approximately equal to 3.14159.

### Step-by-step solution:
1. **Radius of the base**: The diameter is given as 5.99 inches, so the radius is:
   \[
   r = \frac{5.99}{2} = 2.995 \, \text{inches}
   \]

2. **Height of the jar**: The height is given as 10.91 inches.

3. **Volume**:
   \[
   V = \pi \times (2.995)^2 \times 10.91
   \]

Let me calculate the volume.

The volume of the cylindrical jar is approximately 307.45 cubic inches.

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How would the volume change if the height increased by 2 inches?
2. What is the surface area of this cylinder?
3. How does changing the diameter affect the volume?
4. If the jar were filled with water, how many liters would it hold?
5. How does the volume compare to that of a rectangular container with the same height?

**Tip:** The volume of a cylinder is directly proportional to both the square of the radius and the height. Increasing either significantly changes the volume.

cylinder jar: The height is 10.91 inches, width is 7.99 inches and length is 7.87 inches. Find volume, assume that the top part of the jar diameter is 5.99

Find the volume of a cylinder jar with a height of 10.91 inches and a diameter of 5.99 inches using the formula V = πr²h. This problem includes key geometric concepts and volume calculations, suitable for students in Grades 8-10.

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