The volume of a cylinder is 96 cubic meters and the height is 6 meters find the length of the diameter of this cylinder

By definition, the volume of the cylinder is:

V = (pi) * (r ^ 2) * (h)

Where,

r: Radio

h: height

We write the equation in function to the diameter:

V = (pi) * ((d / 2) ^ 2) * (h)

Rewriting:

V = (1/4) * (pi) * (d ^ 2) * (h)

Clearing the diameter:

d = root ((4 * V) / (pi * h))

Substituting values:

d = root ((4 * 96) / (3.14 * 6))

d = 4.5 meters

Answer:

The length of the diameter of this cylinder is:

d = 4.5 meters