Question

How to find the volume of the cone

Answer 1

The closest measurement to the volume of hat is 84.82 in.³.

Explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula
`(1)/(3)\pi r^(2)h`.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

`r=(d)/(2)`

`r=(6)/(2)`

`r=3`.

Then,
`(1)/(3)\pi r^(2)h`

=
`(1)/(3)*\pi *3^(2)*9`

=
`(1)/(3)*3.14*9*9` (
`\pi =3.14`)

=
`(1)/(3) *254.34`

=
`(254.34)/(3)`

=
`84.78` in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.