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)
Responses

40 in.3
40 in. cubed

36 in.3
36 in. cubed

18 in.3
18 in. cubed

27 in.3

3 answers

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. Since the cone and the cylinder have the same radius and height, their volumes are equal.

Given that the volume of the cylinder before removing the cone is 54 in^3, the volume of the remaining amount is also 54 in^3.

Therefore, the correct answer is 54 in^3.
but u have to choose one of the answers above.
Apologies for the oversight. In that case, the correct answer from the options provided would be:

36 in.3 (or 36 in. cubed)
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