The circumference of the base of a cylinder is 44 cm. Find its diameter.

Answer

To find the diameter of the base of a cylinder given that its circumference is 44 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between circumference and diameter**:
The formula for the circumference (C) of a circle is given by:
\[ C = \pi \times D \]
where \(D\) is the diameter of the circle and \(\pi\) is approximately \(3.14\) or can be expressed as \(\frac{22}{7}\).

2. **Substitute the known value**:
We know that the circumference of the base of the cylinder is 44 cm. Therefore, we can set up the equation:
\[ 44 = \pi \times D \]

3. **Use the value of \(\pi\)**:
We can use \(\pi = \frac{22}{7}\) for our calculations:
\[ 44 = \frac{22}{7} \times D \]

4. **Solve for \(D\)**:
To isolate \(D\), we can multiply both sides of the equation by \(7\) to eliminate the fraction:
\[ 44 \times 7 = 22 \times D \]
This simplifies to:
\[ 308 = 22D \]

5. **Divide both sides by 22**:
Now, divide both sides by \(22\) to solve for \(D\):
\[ D = \frac{308}{22} \]

6. **Calculate the value**:
Performing the division:
\[ D = 14 \text{ cm} \]

### Final Answer:
The diameter of the base of the cylinder is **14 cm**.