question_answer

In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If tank is filled completely then what will be height of standing water used for irrigating the park. Write your views on recycling of water.

Answer:

Given, diameter of cylinder \[(d)=2\text{ }m\]

Radius of cylinder \[r=1\text{ }m\]

Height of cylinder \[({{h}_{1}}\text{)=}\,5\text{ }m\].

Length of park \[l=25\text{ }m\]

Breadth of park \[(b)=20\text{ }m\]

Let height of standing water in the park \[=h\]

Volume of water used to irrigate the park = Volume stored in cylindrical tank

\[l\times b\times h=\pi {{r}^{2}}{{h}_{1}}\]

\[25\times 20\times h=\frac{22}{7}\times 1\times 1\times 5\]

\[h=\frac{22\times 5}{7\times 25\times 20}=\frac{3.14}{100}=0.0314\,\,m\]

\[=3.14\,\,cm\]

Recycling of water is very important as it saves wastage of fresh water for work like irrigation. Recycled water can be used for cleaning vehicles etc. also.