Question

11. The rain falls 10 cm on a particular day. 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
volume of the water that falls on the roof.
(ii) rise of water level in the tank due to rain water.
(Hint. Volume of rain water = 7*b* h = 70 x 44 x = 308 m'
Let hm be the rise in water level. Then volume of the cylindrical column of water of height h = volume
of rain water) i.e., 71 * 14x = 308.)​

Answer 1

$\huge\boxed{\fcolorbox{cyan}{Orange}{HELLO MATE}}$

$\huge\underline\mathfrak\red{answer}$

Height of water 10cm = 0.1m

length = L = 70m

width = W = 44m

V(roof) = LWH = 70*44*0.1 = 308 m^3

(ii) r = 14m

h = increase in height of water in tank

The tank is cylindrical so

V(tank) = πr²h = 196πh

The increase in volume in the tank is equal

to the volume of water that falls on the roof

V(tank) = V(roof)

196πh = 308

h = 308/(196π) = 11/(7π) ≈ 0.50 m = 50cm

Answer 2

$\huge\bold{\pink{\fbox{HELLO\: MATE}}}$

Your answer is 50 cm.