Use the image to answer the question.

Given that the volume of the cylinder before removing the cone is 54 cm³, we can use the formula for the volume of a cylinder to find the radius and height of the cylinder.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Since the volume of the cylinder is 54 cm³, we have:

54 = πr²h

Since the cone and cylinder share the same radius and height, the volume of the cone can be calculated using the formula V = (1/3)πr²h.

After removing the cone from the cylinder, the volume remaining is the volume of the cylinder minus the volume of the cone.

Therefore, the volume remaining is:

V_remaining = V_cylinder - V_cone
= πr²h - (1/3)πr²h
= (2/3)πr²h
= (2/3) * 54
= 36 cm³

Therefore, the volume of the amount remaining after removing the cone is 36 cm³.