To calculate the increase in height of the water in the tank, we need to first find the volume of the cricket ball, which will be equal to the volume of water displaced by the ball when it is submerged in the tank.
The volume of a sphere (cricket ball) is given by the formula:
V_ball = (4/3)πr^3
Where r is the radius of the cricket ball:
r = 7.2/2 = 3.6 cm
Therefore, V_ball = (4/3)π(3.6)^3 = 244.62 cm^3
The increase in height of the water in the tank will be equal to the volume of water displaced by the cricket ball divided by the cross-sectional area of the tank.
The cross-sectional area of the tank can be found using the formula for the area of a circle:
A_tank = πr^2
r = 15/2 = 7.5 cm
Therefore, A_tank = π(7.5)^2 = 176.71 cm^2
Now we can find the increase in height of the water in the tank:
Height = V_ball / A_tank
Height = 244.62 / 176.71
Height ≈ 1.38 cm
Therefore, the increase in height of the water in the tank when the cricket ball is dropped in is approximately 1.38 cm.
A cricket ball is dropped into a cylindrical tank of water. The ball sinks to the bottom of the tank. The diameter of the cricket ball is 7.2 cm. The diameter of the cylindrical tank is 15cm. Calculate the increase in height of the water in the tank?
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