a well is dug 12 m deep and has a radius of 0.7m . the earth is taken out is spread over a rectangular plot by 11 m by 14m to raise ground. what is height by which ground is raised
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well is cylinder in shape.
so height of cylindrical well =h=12m and radius =r=0.7m.
rectangular plot length=l=11m and breadth =b=14m and height=h=?
As the earth that is mud is removed from the well the
Volume of well is equal to volume of the rectangular plot.
Volume of well=Volume of rectangular plot
πr^(2)h=l×b×h
22/7×0.7^(2)×12=11×14×h
22/7×0.49×12=11×14×h
22×0.07×12=11×14×h
22×0.07×12/11×14=h
2×0.07×12/14=h
2×0.01×12/2=h
0.01×12=h
0.12=h
that is h=0.12m
So the height of the rectangular plot is 0.12m.So the height of ground is raised by 0.12m
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