A cistern of capacity 8000 liters measures externally 3.3m by 2.6m by 1.1 m by and its walls are 5 cm thick. The thickness of bottom is?

option -1dm , 1.1m ,1.5m , 1.2 m...solu pls

  • Akanksha
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Your Answer

Given data: length=3.3m,width=2.6m, height=1.1m Volume of cistern=8000 litres, thickness of walls is 5 centimetres
To Find- The thickness of the bottom of the tank=?
We know that 1 litre=1000 cubic centimetres.
Hence the length of cistern =3.3m=330cm
the width of cistern=2.6m=260cm
the height of cistern=1.1m=110cm
Now the walls of the cistern are 5cm thick, hence the inner length of the cistern is 330-10=320cm
and inner width of the cistern=260-10=250cm
Now the total volume of the cistern is 8000litres = 8000000 cubic centi-metres
8000000=320*250* X
Let X be the internal height of the tank
8000000=80000*X
X=8000000/80000
Hence X=100 centimetres
Thus the thickness of the bottom is 110-100cm=10cm
The thickness of the bottom is 10 centimetres.

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