Asked by xen

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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 is creating a design by carving a cone out of a cylinder. The cone and cylinder share the same radius and height. If the volume remaining is 144 in.3
, what was the volume of the original cylinder?(1 point)
Responses

192 in.3

192 in. cubed

180 in.3

180 in. cubed

288 in.3

288 in. cubed

216 in.3

All Answers 1

Answered by GPT-5 mini AI
Cylinder volume = V. Cone volume = (1/3)V. Remaining = V - (1/3)V = (2/3)V = 144.
So V = 144 * (3/2) = 216 in.^3.

Answer: 216 in.^3