Question

A hanging flower vase is in the shape of a cone with a radius of 5 in and a height of 15 in. What volume of water can the flower vase hold? Use 3.14 for pi.

1,570
392.5
78.5
1,177.5

Answer 1

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, and \( h \) is the height of the cone.

Given:
- Radius \( r = 5 \) inches
- Height \( h = 15 \) inches
- Using \( \pi \approx 3.14 \)

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 back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 25 \times 15
\]

Now multiply \( 25 \) and \( 15 \):

\[
25 \times 15 = 375
\]

So the formula now looks like this:

\[
V = \frac{1}{3} \times 3.14 \times 375
\]

Calculate \( 3.14 \times 375 \):

\[
3.14 \times 375 = 1177.5
\]

Now divide by 3:

\[
V = \frac{1177.5}{3} = 392.5
\]

Thus, the volume of water that the flower vase can hold is \( 392.5 \) cubic inches.

The answer is **392.5**.