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The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

  • A.4.2
  • B.2.1
  • C.8.1
  • D.1.05

Answer: B

The largest cone that fits inside a cube has its base inscribed in one face and its apex at the centre of the opposite face.

The base circle is limited by the face's width, so its diameter equals the cube's edge:

\[ d = 4.2 \text{ cm} \quad\Longrightarrow\quad r = \frac{4.2}{2} = 2.1 \text{ cm} \]

The cone's height is the full 4.2 cm edge, but the question asks only for the radius. The 4.2 option confuses the diameter with the radius.

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