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The capacity of a cylinder vessel with ...

The capacity of a cylinder vessel with a hemisphere portion raised upward at the bottom as shown in the figure is `(pir^(2))/(3) [3h - 2r]`

Text Solution

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True
We know that, capacity of cylinderical vessel `= pir^(2) h cm^(3)`
and capacity of hemisphere `= (2)/(3) pi r^(3) cm`
From the figure, capacity of the cylindrical vessel
`= pir^(2)h - (2)/(3) pir^(3) = (1)/(3) pir^(2)[3h - 2r]`
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