The volume of a right cylinder is 7,448π cubic centimeters the diameter of the base of the cylinder is 28 centimeters what is the height in centimeters of the cylinder?

By definition, the volume of a cylinder is given by:

V = π * r ^ 2 * h

Where,

r: radio

h: height

Clearing the height we have:

h = (V) / (π * r ^ 2)

Substituting values:

h = (7448π) / (π * (28/2) ^ 2)

Rewriting:

h = (7448) / ((14) ^ 2)

h = 38 cm

Answer:

The height in centimeters of the cylinder is:

h = 38 cm