A cylinder is filled to 4/5 th of volume. it is, then tilted so that the level of water coincides with one edge of its bottom and top edge of the opposite side. in the process, 30 cc of the water is spilled. what is the volume of the cylinder?
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Answered by
18
Answer:
100 cc
When tilted, the water level will form the diagonal of the tank and the volume of the water will he half that of the cylinder. Suppose the volume of the cylinder is V. Since 30 ml = 30 cc has spilled out, 4V/5 = 1/2 V + 30.
Solving this equation gives V = 100 cc.
100 cc
When tilted, the water level will form the diagonal of the tank and the volume of the water will he half that of the cylinder. Suppose the volume of the cylinder is V. Since 30 ml = 30 cc has spilled out, 4V/5 = 1/2 V + 30.
Solving this equation gives V = 100 cc.
Answered by
28
Answer:
Let the water form an angle of θ with the horizontal in pseudo equilibrium.
Resolving the components of gravitational force and pseudo force along the water surface,
acosθ=gsinθ
Thus volume of the water spilled out of this vessel due to backward extending triangle
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