Question

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?

Answer 1

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