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)

Answer 1

The volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height.
The volume of the cone removed from the cylinder is given by V_cone = (1/3)πr^2h.
Since the cone and cylinder have the same radius and height, the volume of the cone equals (1/3) times the volume of the cylinder.
Therefore, the volume of the cone is V_cone = (1/3)(54) = 18 in^3.
So, the volume of the remaining amount is V_remaining = V_cylinder - V_cone = 54 - 18 = <<54-18=36>>36 in^3. Answer: \boxed{36}.

Answer 2

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 18 in. 3 18 in. cubed 36 in. 3 36 in. cubed 40 in. 3 40 in. cubed 27 in. 3 chose one of these

Answer 3

The volume of the remaining amount is 36 in.³

Answer 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 in . 3 , what is the volume of the amount remaining?(1 point) Responses 18 in. 3 18 in. cubed 36 in. 3 36 in. cubed 40 in. 3 40 in. cubed 27 in. 3

Answer 5

The volume of the remaining amount is 36 in.³