The formula to calculate the volume of a cylinder/cylindrical container is given to be:
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height of the cylinder.
The question tells us that a pack of 6 containers has a volume of 169.56 cubic inches of dough. This means that the volume of one container will be:
[tex]V=\frac{169.56}{6}=28.26\text{ cubic inches}[/tex]
Each container has a height of 4 inches.
Therefore, we can substitute these values into the formula for the volume and solve for r as follows:
[tex]\begin{gathered} 28.26=3.14\times r^2\times4 \\ \therefore \\ r^2=\frac{28.26}{3.14\times4}=2.25 \\ r=\sqrt{2.25} \\ r=1.5 \end{gathered}[/tex]
Therefore, the radius of each container is 1.5 inches.
