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

1 answer

The volume \( V \) of a cone can be calculated using the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height of the cone.

Given:

  • Radius (\( r \)) = 5 inches
  • Height (\( h \)) = 15 inches
  • \( \pi \) = 3.14

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, substitute this back into the formula:

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

Calculating \( 25 \times 15 \):

\[ 25 \times 15 = 375 \]

Now substitute this back into the formula:

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

Calculating \( 3.14 \times 375 \):

\[ 3.14 \times 375 = 1177.5 \]

Now substitute this back into the formula:

\[ V = \frac{1}{3} \times 1177.5 \]

Calculating \( \frac{1177.5}{3} \):

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

Therefore, the volume of water that the flower vase can hold is:

\[ \boxed{392.5} \text{ cubic inches} \]