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A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cubeof 8 cm edge is immersed in it completely. Calculate the height bywill rise in the cylinder Use 223.which waterORA cylindrical glass tube with radius 10 cm has water up to a height of 9 cm. Ametal cube of 8 cm edge is immersed completely. By how much the water levelwill rise in the glass tube?

Answer»

Given side of metal cube, a = 8 cmVolume of cube = a3cubic units= 83= 512 cu cmWe know that water will go up in the cylindrical tube which is equal to the volume of the cube.Hence volume cylindrical tube = 512 cu cmThat is, πr2h = 512(22/7) x 10 x 10 x h = 512On simplification, we get h = 1.63 cm (nearly)



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