Question

A tank of capacity 8000l having external dimension 3.3m 2.6m 1.1m and thickness of wall 5cm

Answer 1

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.