To determine the volume of the glass, we need to identify the shape of the glass. Given the dimensions, it seems to be a cylinder.
The formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height.
You are given the height \( h = 10 \) centimeters and the width (which is the diameter) \( = 8 \) centimeters. To find the radius, we divide the diameter by 2:
\[ r = \frac{d}{2} = \frac{8 \text{ cm}}{2} = 4 \text{ cm} \]
Now we can substitute the radius and height into the volume formula:
\[ V = \pi (4 \text{ cm})^2 (10 \text{ cm}) \] \[ V = \pi (16 \text{ cm}^2)(10 \text{ cm}) = 160\pi \text{ cm}^3 \]
Using \( \pi \approx 3.14 \):
\[ V \approx 160 \times 3.14 \approx 502.4 \text{ cm}^3 \]
Therefore, the volume of the glass is approximately 502.4 cubic centimeters.
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