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 m. (1 point)

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,
  • \( h \) is the height,
  • \( \pi \) is a mathematical constant approximately equal to 3.14.

For this flower vase:

  • The radius \( r = 5 \) inches,
  • The height \( h = 15 \) inches.

Now substituting these 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 formula:

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

Calculating \( 25 \times 15 \):

\[ 25 \times 15 = 375 \]

Now substituting 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:

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

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