A graduated cylinder is filled with 36/pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?

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

V = π * r ^ 2 * h

Where,

r: cylinder radius

h: height

Clearing h we have:

h = (V) / (π * r ^ 2)

Substituting values:

h = (36π) / (π * 3 ^ 2)

h = (36π) / (9π)

h = (36π) / (9π)

h = 4 cm

Answer:

The height of the liquid will be in the new cylinder а bout:

h = 4 cm