A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.

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Solution

Suppose the water rises by h cm.
Volume of water displaced = Volume of the cube of edge 8 cm
$π r^{2} h = 8^{3}$
$3.14 \times 10^{2} \times h = 8 \times 8 \times 8$
$h = 1.6$ $c m$

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A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.

Suppose the water rises by h cm.Volume of water displaced = Volume of the cube of edge 8 cmπr2h=833.14×102×h=8×8×8h=1.6 cm

Suppose the water rises by h cm.
Volume of water displaced = Volume of the cube of edge 8 cm
$π r^{2} h = 8^{3}$
$3.14 \times 10^{2} \times h = 8 \times 8 \times 8$
$h = 1.6$ $c m$