To determine the volume of the glass, we first need to identify the shape. Assuming the glass 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,
- \( h \) is the height.
The height \( h \) is given as 10 cm, and the width (diameter) is given as 8 cm. Therefore, the radius \( r \) will be:
\[ r = \frac{\text{diameter}}{2} = \frac{8 \text{ cm}}{2} = 4 \text{ cm} \]
Now substituting the values into the volume formula:
\[ V = \pi (4 \text{ cm})^2 (10 \text{ cm}) \]
\[ V = \pi (16 \text{ cm}^2) (10 \text{ cm}) \]
\[ V = 160\pi \text{ cm}^3 \]
Now, using \( \pi \approx 3.14 \):
\[ V \approx 160 \times 3.14 \text{ cm}^3 \approx 502.4 \text{ cm}^3 \]
Therefore, the volume of the glass is approximately 502.4 cubic centimeters.
The correct response is:
502.4 cubic centimeters.
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