A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5cm is completely immersed in this water
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Answer:
Given:
radius of cylinder = 6cm
radius of sphere = 5cm
To Find:
height of cylinder = ?
Proof:
to find height of cylinder , volume of cylinder = volume of sphere
volume of cylinder = 2 [ pie][r]^2[h]
= 2 [ 22/7] [ 36 ] h
volume of sphere = 4/3 [pie] [r]^3
= 4/3 [ 22/7] [5][5][5]
to find height
2[22/7] [36] [h] = 4/3 [22/7] [125]
2[36]h = 4/3[125]
h = 125/54 or 2.134
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