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 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14


Given:

Height (h) of cylindrical part = 8 cm


Radius (r2) of cylindrical part = = 1 cm


Radius (r1) spherical part = = 4.25 cm


Volume of vessel = Volume of sphere + Volume of cylinder


= r13 + πr22h


= ()3 + π (1)2 (8)


= * 3.14 * 76.765625 + 8 * 3.14


= 321.392 + 25.12


= 346.512


= 346.51 cm3


Hence,


From the result we can conclude that she is wrong


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