the volume of a cylinder is 54 Pi centimeters to the third if the radius is 3 cm what is the height of the cylinder

The height of the cylinder is 6 cm.

If the volume of the cylinder is 54π cm³, and we know the radius, we can use the formula for the volume of a cylinder to figure out the length of the height.

V = πr²h

Substitute

54π = 9h π

Divide each side by π

54 = 9h

Get h by itself

h = 6, which means that the height of the cylinder is 6 cm.