Q. 273.8( 28 Votes )

# A farmer connects

Answer :

Given,

Internal diameter of the pipe = 25 cm

Radius (r) of the pipe = Diameter of the cylindrical tank = 12 m

Radius (R) of the tank = 6 m

Height (h) of the tank = 2.5 m

In 1 hour water comes out of the pipe = 3.6 km = 3600 m

Let the total hrs = n

Volume of the water coming out of the pipe in n hrs = volume of the cylindrical tank  = 6 × 6 × 2.5

3600 n = 36 × 2.5 × 8 × 8

100 n = 8 × 8 × 2.5

1000 n = 8 × 8 × 25

n = = 1.6 hrs

n = 1 hrs 36 minutes

Now calculate the cost;

Cost of the water = Volume of the cylindrical tank × 0.07

= = 19.80 rs

So,

Total time required to fill the tank is 1 hr 36 minutes and the cost is 19.80 rs.

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