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A glass cylinder with a radius of 7 cm haswater upto a height of 9 cm. A metal cube of5.5 cm edge is immersed in it completelyCalculate the height by which water rises inthe cylinder |
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Answer» H = 9 cm, radius = 7 cm and side of the cube = 5.5cmTotal volume of the cylinder (after cube is immersed) = Volume of water in cylinder + Volume of water displaced or volume of the cube= 22/7*7*7*9 + 5.5*5.5*5.5= 1386 + 166.375= 1552.375 cu cmNow, height of water, h1 can be found by equatingπr²h1 with this volume.So,22/7*7*7*h1 = 1552.375h1 = (1552.37× 7)/22*7*7h1 = 1552.375/22*7Height = 10.06 cmRise in the water level in the cylinder = h1 - h = 10.06 - 9= 1.06cm |
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