Answer:
5 inches
Explanation:
A can is cylindrical in nature and volume of a cylinder is expressed as;
V = πr²h where;
r is the radius of the cylindrical can
h is the height of the can.
Given parameters
Volume of the can of soup = 20πin³
diameter of the can = 4inches
Since diameter = 2r
radius = d/2 = 4/2 = 2inches
Required parameter.
Height of the can
Substituting the given parameters into the formula to get the height h will give;
20π = πr²h
20 = r²h
20 = 2²h
20 = 4h
Divide both sides by 4:
4h/4 = 20/4
h = 5inches
Hence the heighr of the can is 5 inches