Question

the rain Falls 10 centimetre on a particular date the rain water that falls on a roof 70 M long and 44 M wide was collected in a cylindrical tank of radius 14 M find the rise of water level in the tank due to rain water

Answer 1

Hey



For roof :-


Length = 70 m = 7000 cm .


breadth = 14 m = 1400 cm


height = 10 cm .


Volume of rain = l * b * h


= ( 7000 * 1400 * 10 ) cm³


For cylindrical tank :-


Radius = 14 m = 1400 cm


Let the height be h cm .


So ,

volume = pie * ( 1400 ) ² * h


Now , while collecting rainwater , the volume of water will be same . So ,


pie * 1400 * 1400 * h = 7000 * 1400 * 10


=> pie * 1400 * h = 7000 * 10


=> pie * h = 5 * 10


=> h = 50 * 7 / 22


=> h = 25 * 7 / 11


=> h = 175 / 11


=> h = 15.9 cm




thanks :)