Okay, here we have this:
Considering the provided information, we are going to calculate the requested height of the cylinder, so we obtain the following:
Then to find the requested height we will clear the height of the formula for the volume of a cylinder, therefore we have:
V=h * π * r^2
h=V/(π * r^2)
Replacing with the given values:
h=V/(π * (d/2)^2)
h= 125.6 in^3/(π * (8in/2)^2)
h= 125.6 in^3/(π * (4in)^2)
h= 125.6 in^3/(π * 16in^2)
h= 125.6 in^3/(3.14 * 16in^2)
h= 125.6 in^3/(50.24 in^2)
h= 2.5 inches
Finally we obtain that height of the soup can is 2.5 inches.