Question

$\huge \fbox \red{❥ Question}$


In a rain-water harvesting system, the rain-water from a roof of 22 m × 20 m drains into a cylindrical tank having a diameter of base 2 m and height 3.5 m. If the tank is full, find the rainfall in cm. Write your views on water conservation.​

Answer 1

Answer:

Rectangular roof : l=22m,b=20m

Cylindrical tank : r=1m,h=3.5m

The volume of tank =πr

2

h

=

7

22

×1×1×3.5

=

7

22

×

10

35

=11m

3

Area of roof =l×b=22×20=440m

2

Rainfall =

Area of roof

Volume of tank

∴ Rainfall =

440m

2

11m

3

=0.025m

∴ Rainfall is 2.5cm

Answer 2

$\pink{Ꭺղsաҽɾ}$

Rectangular roof : l = 22m,b = 20m

Cylindrical tank : r = 1m,h = 3.5m

The volume of tank = πr2h

$= \frac{2}{7} \times 1 \times 13.5$

$= \frac{2}{7} \times \frac{35}{10} \\ = {11m}^{2}$

Area of roof = l×b = 22×20= 440m²

$Rainfall = \frac{volume \: of \: tank}{area \: of \: roof}$

$∴ Rainfall = \frac{11 {m}^{2} }{440 {m}^{2} }$

∴ Rainfall is 2.5cm