What is the depth of water in the cylinder after a storm in which 1cm of rain fell?
Rain which falls onto a flat rectangular surface of length 6m and width 4m is collected in a cylinder of internal radius 20cm.
The water fell in to the flat surface will fill up to 1cm. So it will form a rectangular cuboid of length 6m , width 4m and height 1cm.
Volume of rectangular cuboid = length*width*height
Volume of rain water fall in to surface `= 6*4*1/100 m^3`
`= 0.24 m^3`
This 0.24 m^3 of water will fill in to the cylinder. If the height if the water that filled in to there cylinder is h and the radius is r then the volume of water filled in the cylinder is given by;
`V = pi*r^2*h`
`V = pi*0.2^2*h`
But we know that ` V = 0.24 m^3`
`pi*0.2^2*h = 0.24`
` h = 1.91m`
So the height that water filled is 1.91m = 191cm