A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter is \(9.8 \ cm\) and the height of the vessel is \(15 \ cm\). Find the capacity of the vessel.
 
Answer:
 
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Radius of the vessel is \(cm\)
 
Height of the cylindrical part is \(cm\)
 
Capacity of the vessel is given by \(+\)
 
Therefore, the capacity of the vessel \(=\)  \(cm^3\)