Question

Use the image to answer the question.

A cone is placed inside a cylinder. The apex of the cone touching the center of the top circle of the cylinder is highlighted with a dot. The cone with its base is drawn in dashed lines. The base of the cone is common with the base of the cylinder.

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)

27 in.3


36 in.3


40 in.3


18 in.3

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Answer 1

Cylinder volume = V. Cone volume = (1/3)V (same base and height). Remaining = V - (1/3)V = (2/3)V = (2/3)(54) = 36 in.^3.