Question

To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4 in and a length of 6 in. How many cubic inches of frosting is in the bag? Use 3.14 for pi. Enter your answer in the box as a decimal rounded to the nearest tenth.

Answer 1

Cub inches of frosting in the bag to the nearest tenth:

25.1

Explanation

To find the volume of the frosting, we are using the formula for the volume of a cone:

Volume of the cone:

`V=\pi r^2(h)/(3)`

where

`V` is the volume of the cone

`r` is the radius

`h` is the height

Since the radius is half the diameter,
`r=(4in)/(2) =2in`. The lenght of the bag is the height of the cone, so
`h=6in`. Let's replace the values in our formula to find
`V`:

`V=(3.14)(2in)^2((6in)/(3) )`

`V=(3.14)(4in^2)(2in)`

`V=25.12in^3`

And rounded to the nearest tenth:

`V=25.1in^3`