From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume of the remaining material.
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Question

From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume of the remaining material.

KnowledgeBoat · Accepted Answer

Edge of a cube = 14 cm. Volume = (side)³ = (14)³ = 2744 cm³. Cone of maximum size is carved out as shown in figure, Diameter of the cone cut out from it = 14 cm. Radius = = = 7 cm. Volume of cone = Height = 14 cm. Putting values we get, Volume of the remaining material = Volume of the cube - Volume of the cone. Volume of remaining material = Hence, the volume of the remaining material is .

Mathematics

From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume of the remaining material.

Mensuration

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