To find the volume of the glass, we first need to determine if it's treated as a cylinder (which is common for glasses). The formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
Where:
- \( r \) is the radius,
- \( h \) is the height.
Given the width (diameter) is 8 centimeters, we can find the radius:
\[ r = \frac{diameter}{2} = \frac{8}{2} = 4 \text{ centimeters} \]
The height \( h \) of the glass is 10 centimeters.
Now we substitute into the formula:
\[ V = \pi (4)^2 (10) \]
Calculating that gives:
\[ V = \pi (16) (10) = 160\pi \]
Using the approximate value of \( \pi \approx 3.14 \):
\[ V \approx 160 \times 3.14 = 502.4 \text{ cubic centimeters} \]
Thus, the volume of the glass is approximately 502.4 cubic centimeters.
The correct answer is:
502.4 cubic centimeters.
1 answer