Question

the rain water that falls on a roof of area 6160m^2is collected in a cylinderical tank of diameter 14m and height 10m and thus the tank is completely filled. Find the height for the water in the roof

Answer 1

volume of water will remain same

volume of roof=vol of cylinder

6160*h=π(7*7)(10)


h =49π/616

h=(7*22/616)m

Answer 2

The height of roof is 0.25 m

Step-by-step explanation:

Area of roof = lb = 6160 sq.m.

Let the height of roof be h

Volume of water on roof = lbh = 6160h

The rain water that falls on a roof is collected in a cylindrical tank of diameter 14m and height 10m

Radius of cylinder =$\frac{14}{2}=7 m$

Volume of cylinder = $\pi r^2 h = \frac{22}{7} \times 7^2 \times 10$

So, Volume of roof = Volume of cylinder

$6160h =\frac{22}{7} \times 7^2 \times 10\\h = \frac{\frac{22}{7} \times 7^2 \times 10}{6160}$

h =0.25

Hence The height of roof is 0.25 m

#Learn more:

The rainwater harvested on a roof 35m * 20m is collected in a cylindrical tank with diameter 14m and height 5m if the tank is completely filled find the height of the rain water on the roof .

https://brainly.in/question/7711863