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

Answer 1

The volume of water the cone-shaped flower vase can hold, using the formula V = (1/3)πr^2h with 3.14 for π, a radius of 5 inches, and a height of 15 inches, is 392.5 cubic inches.

Step-by-step explanation:

To find the volume of water that a cone-shaped flower vase can hold, you use the formula for the volume of a cone, which is
`V = (1)/(3)\pi r^2 h` . The given dimensions are a radius (r) of 5 inches and a height (h) of 15 inches. Using the value of 3.14 for
`\pi` , the volume can be calculated as follows:

`V = (1)/(3) * 3.14 * (5 \text{ inches})^2 * 15 \text{ inches}`

`V = (1)/(3) * 3.14 * 25 \text{ inches}^2 * 15 \text{ inches} = (1)/(3) * 3.14 * 375 \text{ inches}^3 = 392.5 \text{ inches}^3`

Therefore, the flower vase can hold 392.5 cubic inches of water.

Answer 2

Answer: 392.5 cubic inches

Step-by-step explanation:

The volume of a cone is:
`(1)/(3)\pi r^2h`

`\pi =3.14`

`r=radius`

`h=height`

In your case:

`r=5`

`h=15`

If we substitute these values, we will get:

`(1)/(3) *3.14*(5^2)*15`

If we calculate this, we will get 392.5 cubic inches.