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Mathematics

The volume of the greatest sphere cut off from a circular cylindrical wood of base radius 1 cm and height 6 cm is

  1. 288π cm3

  2. 43π\dfrac{4}{3}π cm3

  3. 6π cm3

  4. 4π cm3

Mensuration

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Answer

Largest sphere that can be cut out from a cylinder of base radius 1 will have radius = 1 cm.

Volume of sphere (V) = 43πr3=43π(1)3=43π\dfrac{4}{3}πr^3 = \dfrac{4}{3}π(1)^3 = \dfrac{4}{3}π cm3.

Hence, Option 2 is the correct option.

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