Answer
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:
[tex]V=\pi r^2\frac{h}{3}[/tex]
where
[tex]V[/tex] is the volume of the cone
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
Since the radius is half the diameter, [tex]r=\frac{4in}{2} =2in[/tex]. The lenght of the bag is the height of the cone, so [tex]h=6in[/tex]. Let's replace the values in our formula to find [tex]V[/tex]:
[tex]V=(3.14)(2in)^2(\frac{6in}{3} )[/tex]
[tex]V=(3.14)(4in^2)(2in)[/tex]
[tex]V=25.12in^3[/tex]
And rounded to the nearest tenth:
[tex]V=25.1in^3[/tex]
