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:
\(V=\pi r^2\frac{h}{3}\)
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:
\(V=25.1in^3\)
