Question

the rain falls 10cm on a particular day. The rain water that fals on a roof 70m long and 44m wide was collected in a cylindrical tank of radius 14m, find:-

(a) Volume of the that falls on the roof.

(b)Rise of water level in the tank due to rain water

Answer 1

(a) l=70; b= 44m and h= 10 cm = 0.1 m
So, volume of water on roof = lbh = 70$\times$44$\times$0.1=308m³ (As, the rainwater will form a cuboidal shaped solid on the roof)

(b) Let h be the height of the water in the tank.
Volume of the water in tank=$\pi r^{2}h=\frac{22}{7}\times {14}^{2}h=616h$
As, the water is falling to the tank from the roof,
So 308= 616h
h= 308/616=0.5 m