To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- \( r = 5 \) inches
- \( h = 15 \) inches
- \( \pi \approx 3.14 \)
Now substituting the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (5^2) \times 15 \]
Calculating \( 5^2 \):
\[ 5^2 = 25 \]
Now substitute:
\[ V = \frac{1}{3} \times 3.14 \times 25 \times 15 \]
Calculating \( 25 \times 15 \):
\[ 25 \times 15 = 375 \]
Now substitute that back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 375 \]
Calculating \( 3.14 \times 375 \):
\[ 3.14 \times 375 = 1177.5 \]
Now divide by 3:
\[ V = \frac{1177.5}{3} = 392.5 \text{ cubic inches} \]
Therefore, the volume of water the flower vase can hold is 392.5 cubic inches.