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 in.3 , what is the volume of the amount remaining?(1 point) Responses 27 in.3 27 in. cubed 36 in.3 36 in. cubed 18 in.3 18 in. cubed 40 in.3
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that the volume of the cylinder is 54 in^3, the volume of the cone that was removed will be half of that, which is 27 in^3.
So, the volume of the remaining amount (cylinder with cone removed) will be 54 in^3 - 27 in^3 = 27 in^3.
Therefore, the answer is 27 in^3.