To find the volume of a cylinder, we use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
In this case:
- The height \( h = 15 \) cm,
- The diameter is \( 5 \) cm, so the radius \( r = \frac{5}{2} = 2.5 \) cm.
Now, substituting the values into the volume formula and using \( \pi \approx 3.14 \):
\[ V = 3.14 \times (2.5)^2 \times 15 \]
Calculating \( (2.5)^2 \):
\[ (2.5)^2 = 6.25 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 6.25 \times 15 \]
Calculating \( 3.14 \times 6.25 \):
\[ 3.14 \times 6.25 = 19.625 \]
Now multiply by 15:
\[ V = 19.625 \times 15 \approx 294.375 \]
So, the volume of the cylinder is approximately 294.375 cubic centimeters.
Since this isn't matching any of your provided choices, I recommend checking the calculations for any miscalculation or confirming the dimensions provided. However, if sticking strictly to options, it's likely that the correct volume rounded might not be listed correctly. Please check the provided options based on this calculation.
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