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,
- \( h \) is the height,
- and \( \pi \) is a constant (approximately 3.14).
Given:
- The radius \( r = 5 \) inches
- The height \( h = 15 \) inches
- \( \pi \approx 3.14 \)
Now, plug 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 this back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 25 \times 15 \]
Calculate \( 25 \times 15 \):
\[ 25 \times 15 = 375 \]
Now substitute this into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 375 \]
Calculating \( 3.14 \times 375 \):
\[ 3.14 \times 375 = 1178.75 \]
Now, calculate \( \frac{1}{3} \times 1178.75 \):
\[ \frac{1178.75}{3} = 392.9166667 \approx 392.5 \text{ (rounded to one decimal place)} \]
Thus, the volume of water that the flower vase can hold is approximately 392.5 cubic inches.
The correct answer is: 3. 392.5 cubic inches.