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

Question

3 years ago

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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.

Mathematics

2 answers:

fgiga [73] · Answer 1 · 2022-07-25T19:17:10+03:00

<h2>Answer</h2>

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

25.1

<h2>Explanation </h2>

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

Volume of the cone:

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

where

$V$ is the volume of the cone

$r$ is the radius

$h$ is the height

Since the radius is half the diameter, $r=\frac{4in}{2} =2in$ . The lenght of the bag is the height of the cone, so $h=6in$ . Let's replace the values in our formula to find $V$ :

$V=(3.14)(2in)^2(\frac{6in}{3} )$

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

$V=25.12in^3$

And rounded to the nearest tenth:

$V=25.1in^3$

Deffense [45] · Answer 2 · 2022-07-25T18:08:24+03:00

<span>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.
</span>

25.1