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