To calculate the volume of a glass that is in the shape of a cylinder, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base, and
- \( h \) is the height.
Given:
- The width (diameter) of the glass is 8 centimeters, so the radius \( r \) is half of that: \[ r = \frac{8}{2} = 4 \text{ centimeters} \]
- The height \( h \) of the glass is 10 centimeters.
Now we can plug the values into the volume formula:
\[ V = \pi (4)^2 (10) = \pi (16)(10) = 160\pi \]
Now, using \( \pi \approx 3.14 \):
\[ V \approx 160 \times 3.14 = 502.4 \text{ cubic centimeters} \]
Thus, the volume of the glass is approximately 502.4 cubic centimeters.
Therefore, the correct response is:
502.4 cubic centimeters.