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