To calculate the volume of a cylindrical glass, you 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 cylinder,
- \( h \) is the height of the cylinder.
Given:
- Height \( h = 10 \) cm
- Width (diameter) = 8 cm, therefore the radius \( r = \frac{8}{2} = 4 \) cm.
Now plug the values into the formula:
\[ V = \pi (4)^2 (10) \] \[ V = \pi (16) (10) \] \[ V = 160\pi \]
To get a numerical value, we can use \( \pi \approx 3.14 \):
\[ V \approx 160 \times 3.14 \approx 502.4 \text{ cubic centimeters} \]
Thus, the volume of the glass is approximately 502.4 cubic centimeters.