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,
- \( \pi \) is approximately \( 3.14 \).
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 15 \) inches.
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (5^2) \times 15 \]
Calculating \( 5^2 \):
\[ 5^2 = 25 \]
Now plug it back into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 25 \times 15 \]
Calculating \( 25 \times 15 \):
\[ 25 \times 15 = 375 \]
Now substitute 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:
\[ V = \frac{1177.5}{3} = 392.5 \]
Thus, the volume of water the flower vase can hold is:
392.5 cubic inches
So the correct choice is:
392.5 cubic inches.