The water from a roof, 9 square meters in area, flows down to a cylindrical container of 900 square cm base. To what height will the water rise in the cylinder, if there is a rainfall of 0.1mm?

 

The area of roof = 9 m²

We have rainfall = 0.1 mm

   = 0.1 *  m

  = 0.0001 m

Hence the volume of water = 9 * 0.0001 m³

  = 0.0009 m³

Now , base of cylindrical container = 900 cm²

  = 900 *  m²

   = 0.0900 m²

Let the water rise in cylinder to the height ‘h’ m  

We get volume = 0.0900 * h

Hence according to question,

 0.0900 * h = 0.0009

 h=

h =

h=

  = 0.01 m

  = 0.01 * 100 cm

  = 1 cm

Hence, the rise of water level in cylinder is 1 cm

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