a sphere of diameter 18cm is dropped into a cylindrical vessel of diameter 36cm partly filled with water.If the sphere is completely submerged ,then find the water level rises in cm
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Answer:
Volume of sphere= 4/3 x π x 9³
=972 π
Volume of water in vessel= π x 18² x h
= 324 π h
New volume in vessel = Vol. of sphere + Vol. of water
π x 18² x H = 972 π + 324 π h
324 H = 972 + 324 h (here in RHS and LHS π is common )
324 H - 324 h = 972
H - h = 972/324 = 3 cm
level of water rises by 3cm
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