To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
First, we need to find the radius of the cylinder. The diameter is given as 10 cm, so the radius \( r \) is:
\[ r = \frac{\text{diameter}}{2} = \frac{10 \text{ cm}}{2} = 5 \text{ cm} \]
Now we can substitute the values into the volume formula:
\[ V = 3.14 \times (5 \text{ cm})^2 \times 5 \text{ cm} \]
Calculating \( (5 \text{ cm})^2 \):
\[ (5 \text{ cm})^2 = 25 \text{ cm}^2 \]
Now substitute back into the formula:
\[ V = 3.14 \times 25 \text{ cm}^2 \times 5 \text{ cm} \] \[ V = 3.14 \times 125 \text{ cm}^3 \] \[ V = 392.5 \text{ cm}^3 \]
Therefore, the volume of the cylinder is 392.5 cm³.
The correct answer is \( \text{392.5 cm³} \).