Question

in a hospital used water is collected in a cylindrical tank of diameter 2m and height 5m after recycling this water is used to irrigate the park whose length is 25m and bredth is 20m if tank is filled completely then what will be the height of standing water used fir irrigating the park

Answer 1

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Answer 2

Answer:

The height of standing water used fir irrigating the park is 0.0314 meter.

Step-by-step explanation:

Given : In a hospital used water is collected in a cylindrical tank of diameter 2m and height 5m after recycling this water is used to irrigate the park whose length is 25m and bredth is 20m if tank is filled completely.

To find : What will be the height of standing water used for irrigating the park?

Solution :

Dimension of the cylinder is

Diameter = 2 m, Radius = 1 m

Height = 5 m

The volume of the cylinder is

$V_C=\pi r^2h$

$V_C=\pi\times 1^2\times 5$

$V_C=5\pi$

Dimension of the tank,

Length = 25 m, Breadth= 20m

Let the height of the standing water is h

Volume of the tank is

$V=l\times b\times h$

$V=25\times 20\times h$

$V=500h$

According to question the volumes are equal,

$V=V_C$

$500h=5\pi$

$h=\frac{5\times 3.14}{500}$

$h=\frac{15.7}{500}$

$h=0.0314m$

Therefore, The height of standing water used fir irrigating the park is 0.0314 meter.