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Question
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
Options
\[\frac{4}{3}\pi\]
\[\frac{10}{3}\pi\]
5\[\pi\]
\[\frac{20}{3}\pi\]
Solution
The radius of greatest sphere cut off from cylindrical log of wood should be radius of cylindrical log.
i.e., r = 1 cm
The volume of sphere
`=4/3 pi(1)^3`
`=4/3 pi cm^3`
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