 Hello and welcome to the session. My name is Asha and I shall be helping you with the following question that says the drain water from a roof 22 meters into 20 meters drain into a cylindrical vessel having diameter of Base 2 meters and height 3.5 meters if the vessel is just full find the rainfall in centimeters Let's start with the solution So here we are given a roof suppose This is a roof and here Some water is collected. Suppose this is the water collected in this roof This water is drained into a Cylindrical vessel suppose this is a cylindrical vessel whose base diameter is 2 meters and It's height is 3.5 meters and this vessel is just full we have to find the rainfall in centimeters So the volume of water In the roof is equal to the volume of water in the cylinder and we are given The diameter of the base of Cylindrical vessel is equal to 2 meters Therefore radius of base of Vessel is Equal to 1 meters Let us denote it by small art Also, we are given top the cylindrical vessel is equal to 3.5 meters Denoting it by small edge now The water collected in this roof which is in the shape of a cuboid Is given by Length into breadth into height and length into breadth is given to us as 22 meters into 20 meters into edge where H is equal to The rainfall in centimeters Now this water is Drain out into a cylindrical vessel so the volume of water in the roof is equal to the volume of the cylindrical vessel so we have volume of water in the roof equal to The volume of Cylindrical vessel or 2 meters into 20 meters Into H is equal to the volume of cylindrical which is given back by and It's radius is small r and it's height is small edge. So we have pi R is square edge where R is 1 meters and H is 3.5 meters So we have 22 meters into 20 meters into H is equal to pi Into R is 1 meter Into 1 meters into height is 3.5 meters so it is equal to 22 by 7 into 3.5 divided by 22 Into 20 or this is further equal to 22 Into 7 into 0.5 is 35. So we have 0.5 upon 22 into 20 meters 22 cancels output 20 and we have 5 into 0.1 is 0.5 and 5 4s are 20 so we have 0.1 upon 4 meters and since 1 meter is equal to 100 centimeters Therefore we have 0.1 upon 4 into 100 centimeters Which for a guess 10 upon 4 centimeters or 5 upon 2 centimeters Which is further equal to 2.5 centimeters Hence our answer is rainfall is equal to 2.5 centimeters So this completes the session. Hope you have understood it. Take care and have a good day