Question

A rain water from a roof 44m × 20 m drains into a cylinder tank having diameter of base 4m and height 3.5m if tank is just full find the rainfall in cm

Answer 1

Step-by-step explanation:

Volume of cylinder=2 pie r h

=22/7*2*3.5*2

=44 cubic metre

volume of roof= above volume

44 *20*h=44

h=1/20m

=0.05m

Answer 2

Answer:

5 cm

Step-by-step explanation:

Let the height of rainfall be x

Length of roof = 44 m

Breadth of roof = 20 m

Volume of rainwater on roof = $Length \times Breadth \times Height$

                                               = $44 \times 20 \times x$  

Diameter of cylinder = 4 m

Radius = $\frac{4}{2} = 2 m$

Height of cylinder = 3.5 m

Volume of water in cylinder = $\pi r^2 h$

                                             = $\frac{22}{7} \times 2^2\times 3.5$  

Since the water from the roof is drained into cylindrical tank So, volume will remain same

So, $\frac{22}{7} \times 2^2\times 3.5=44 \times 20 \times x$  

$\frac{22}{7 \times 44 \times 20} \times 2^2\times 3.5=x$  

$0.05=x$  

rainfall = 0.05 m = 5 cm

Hence  the rainfall in cm is 5 cm