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