Question

Hi I need a quick explanation for this problem I have to turn it in in 10 minutes

Answer 1

The formula to calculate the volume of a cylinder/cylindrical container is given to be:

`V=\pi r^2h`

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:

`V=(169.56)/(6)=28.26\text{ cubic inches}`

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:

`\begin{gathered} 28.26=3.14* r^2*4 \\ \therefore \\ r^2=(28.26)/(3.14*4)=2.25 \\ r=√(2.25) \\ r=1.5 \end{gathered}`

Therefore, the radius of each container is 1.5 inches.