Answer:
Depth = 9 cm
Explanation:
First, calculate the volume of the cylindrical tin.
Mathematically, that would be the following:
![V = \pi * r^{2} * h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%2A%20r%5E%7B2%7D%20%2A%20h)
Now, r = d/2 = 12/2 = 6 cm
h = 9 cm
Therefore, the volume will be:
V = 22/7 * 14 * 6^2 =1,584 cm^3
Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.
As we don't have the height of the tin so let's suppose it x, now it means that
l * b * h = 16 * 11 * x = 176x
Therefore, the depth would be:
176x = 1584
x = 1584 / 176 = <u>9 cm</u>