Question

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 the height of standing water used for irrigating the park?

Answer 1

Diameter of cylinder (d) = 2 m
Radius of cylinder (r) = 1 m
Height of cylinder (H) = 5 m
Volume of cylindrical tank, Vc $=\pi r^{2}H=\pi \times 1^2\times 5=5\pi m$

Length of the park (l) = 25 m
Breadth of park (b) = 20 m
the height of standing water in the park = h
Volume of water in the park = lbh$=25\times 20\times h$

Now water from the tank is used to irrigate the park. So,
Volume of cylindrical tank = Volume of water in the park

$5\pi =25\times 20\times h$

$h=\frac{5\pi }{25\times 20}=m\frac{5\pi }{100}=0.0314m$