SOLUTION: a spherical ball having a diameter of 60cm is placed on a cylindrical tank which cotains a liquid. The spherical ball was fully submerged on the liquid inside the tank. If the wat

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Question 1025287: a spherical ball having a diameter of 60cm is placed on a cylindrical tank which cotains a liquid. The spherical ball was fully submerged on the liquid inside the tank. If the water level inside the tank rises by 10cm,what is the diameter of the cylindrical tank?
looking forward for the answer,..thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The increase in volume of the tank is equal to the volume of the spherical ball.
V%5Bs%5D=%284%2F3%29pi%2860%2F2%29%5E3=%284000%2F3%29pi
So then,
V%5Bc%5D=pi%2AR%5E2%2AL
and
pi%2AR%5E2%2A%28L%5B2%5D-L%5B1%5D%29=%284000%2F3%29pi
pi%2AR%5E2%2A%2810%29=%284000%2F3%29pi
R%5E2=400%2F3
R=20%2Fsqrt%283%29
D=40%2Fsqrt%283%29
D=%2840%2F3%29sqrt%283%29cm