To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
From your question, it seems that you provided two dimensions: 8 mm and 13 mm. It's common to interpret the larger value as the height \( h \) and the smaller value as the diameter. Since the diameter is mentioned, we should calculate the radius by dividing the diameter by 2.
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Calculate the radius: \[ \text{Diameter} = 8 , \text{mm} \implies r = \frac{8}{2} = 4 , \text{mm} \]
-
Assign the height: \[ h = 13 , \text{mm} \]
Now plug these values into the volume formula:
\[ V = \pi (4 , \text{mm})^2 (13 , \text{mm}) \]
\[ V = \pi (16 , \text{mm}^2)(13 , \text{mm}) = 208\pi , \text{mm}^3 \]
Now, using \( \pi \approx 3.14159 \):
\[ V \approx 208 \times 3.14159 \approx 652.17872 , \text{mm}^3 \]
Finally, rounding to the nearest hundredth:
\[ V \approx 652.18 , \text{mm}^3 \]
Thus, the volume of the cylinder is approximately 652.18 cubic millimeters.