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:

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 \(=\) \(cm^3\)