Question 4: 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 54 cubic inches, what is the volume of the amount remaining?
36 cubic inches
27 cubic inches
40 cubic inches
18 cubic inches
The volume of a cone is given by the formula Vcone = (1/3)πr^2h, where r is the radius and h is the height.
Since the cone and cylinder share the same radius and height, the volume of the cone removed is (1/3)πr^2h.
The volume of the cylinder before removing the cone is 54 cubic inches.
Therefore, the volume of the remaining amount is 54 - (1/3)πr^2h.
Since we are not given the specific value of π or the dimensions of the cone and cylinder, we cannot determine the precise volume of the amount remaining.
Therefore, none of the answer choices provided are correct.