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