The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?

We will be using the formula in looking for the volume of the cylinder which is

V = πr²h

where:

r = radius

h = height

V = volume

but in the problem V and r have values already:

r = 8

V = 4019.2

plug this in the volume equation:

V = πr²h

= 4019.2 = π * 8² * h

= 4019.2 = 64πh

= 4019.2 / 64π = h

so the answer is: h = 4019.2 / 201.06193

= 19.99 is the height of the cylinder.