Question

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 ππ .(1 point) Responses 1,177.5 cubic inches 1,177.5 cubic inches 392.5 cubic inches 392.5 cubic inches 78.5 cubic inches 78.5 cubic inches 1,570 cubic inches

Answer 1

The volume $V$ of a cone is calculated using the formula:

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

where $r$ is the radius of the base, $h$ is the height, and $\pi$ is approximately 3.14.

Given:
- Radius $r=5$ inches
- Height $h=15$ inches

Plug these values into the formula:

$$V=\frac{1}{3}\times 3.14\times (5{)}^2\times 15$$

First, calculate $(5{)}^2$:

$$(5{)}^2=25$$

Next, multiply this by the height:

$$25\times 15=375$$

Now, multiply by $3.14$:

$$3.14\times 375=1177.5$$

Finally, divide by 3:

$$\frac{1177.5}{3}=392.5$$

So, the volume of water the flower vase can hold is:

$$392.5\text{cubic inches}$$

Therefore, the correct answer is:

$$\boxed{{\displaystyle 392.5\text{cubic inches}}}$$