SOLUTION: A rectangular tank with base dimensions 50cm x 20cm and height 40cm is half filled with water. A solid cylinder with diameter 12 cm and length 40cm is fully submerged in the water

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Question 1112327: A rectangular tank with base dimensions 50cm x 20cm and height 40cm is half filled with water. A solid cylinder with diameter 12 cm and length 40cm is fully submerged in the water that is in the tank.
A) find the exact volume of the cylinder
B) find the increase in depth of the water, to the nearest mm
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
a)  formula for the volume of a cylinder is  V%5Bcylinder%5D = pi%2A%28d%2F2%29%5E2%2Ah.

    Using the formula, substitute your data and calculate the volume of the cylinder on your own.



b)  The water level rise in the tank after submerging the cylinder is equal to the volume of the cylinder divided by the base area of the tank.


    Use your data and make calculations on your own.


Happy calculations ! !

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See the lesson
    - Water level rise in a tank after submerging bodies
in this site, where you can find the solutions to other similar problems.