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A spherical glass vessel has a cylindrical neck \(8 cm\) long, \(2 cm\) in diameter; the diameter of the spherical part is \(8.5 cm\). By measuring the amount of water it holds, a child finds its volume to be \(345\) \(cm^3\). Check whether she is correct, taking the above as the inside measurements, and \(π = 3.14\).
 
The child is
 
The correct volume is \(cm^3\)
 
Note: Enter the answer upto one decimal place.