A sculptor created a design by carving a cone out of a cylinder. The cone and cylinder share the same radius and height. If the volume of the cylinder before removing the cone is 54in .^ 3 what is the volume of the amount remaining? (1 point)
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Since the cone and cylinder have the same radius and height, the volume of the cone is given by V = (1/3)πr^2h.
The total volume of the cylinder before removing the cone is 54 in^3. Therefore, the volume of the cone is (1/3)(54) = 18 in^3.
The volume of the remaining amount is the volume of the cylinder minus the volume of the cone, so the volume of the remaining amount is 54 - 18 = 36 in^3.