A glass cylinder with diameter 18cm has water to a height of 8cm. A metal cube of 6cm edge is immersed in it completely. Find the height by which water will rise in the cylinder.
Answers
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8
H = 9 cm, diameter = 20 cm so, radius = 10 cm and side of the cube = 8 cm
Total volume of the cylinder (after cube is immersed) = Volume of water in cylinder + Volume of water displaced or volume of the cube
= 22/7*10*10*9 + 8*8*8
= 19800/7 + 512
= 2828.57 + 512
= 3340.57 cu cm
Now, height of water, h1 can be found by equating πr²h1 with this volume.
So,
22/7*10*10*h1 = 3340.57
h1 = (3340.57 × 7)/2200
h1 = 23383.99/2200
Height = 10.63 cm
Rise in the water level in the cylinder = h1 - h
= 10.63 - 9
= 1.63 cm
Answer.
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0
Step-by-step explanation:
Suppose the water rises by h cm.
Volume of water displaced = Volume of the cube of edge 8 cm
πr
2
h=8
3
3.14×10
2
×h=8×8×8
h=1.6 cm
HOPE IT HELPS U
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