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
40 in.3
40 in. cubed
36 in.3
36 in. cubed
18 in.3
18 in. cubed
27 in.3
27 in. cubed
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The volume of the cone that was removed is 1/3 of the volume of the cylinder. Since the cylinder's original volume was 54 in.3, the cone's volume is 1/3 * 54 = 18 in.3.
Since the cone and cylinder shared the same height and radius, the volume of the remaining amount is the volume of the cylinder minus the volume of the cone.
54 - 18 = 36 in.3
Therefore, the volume of the amount remaining is 36 in.3.
Correct response: 36 in.3 or 36 in. cubed.