Question

water droplets from a tap at the rate of four drops in every 3 seconds volume of One drop it 0.4 cubic CM if drift water is collected in cylinder vessel of height 7 cm and diameter 8cm in what time will be completed field what is the volume of water collected how many such vessels will be complete to filled in 3 hours 40 minutes

Answer 1

Answer:

The one vessel can be filled by 660seconds

In 3 hours 40 approximately 16 vessels can be filled

Step-by-step explanation:

It is given that rate of four drops in every 3 seconds .

Volume of 1 drop = 0.4

Volume of 4 drops = 0.4 x 4 =1.6 cubic CM

To find the volume of Vessel

Radius r = 4cm and height h = 7cm

Volume V = πr^2h

V = 3.14 x 4 x 4 7 = 352 cubic cm

To number of drops in vessel

Number of drops in vessel = volume of vessel/volume of one drops

Number of drops in vessel  = 352/0.4  =880

880 = 4 x 220

Time required to complete the vessel = (880 x 3)/4 = 220 x 3 = 660 seconds

To find the number of vessels will be complete to filled in 3 hours 40 minutes

3 hours 40 minutes = (3 x 60 x 60) + 40 = 10840 seconds

One vessel take 660 seconds

number of vessels required =  10840/660 =  16.42 ≈ 16 vessels

Answer 2

Answer:

(1) 11 mins (2) 20 vessels

Step-by-step explanation:

Find the volume of the tank:

Volume = πr²h

Volume = π(8 ÷ 2)²(7) = 352 cm³

Find the number of droplet needed to fill the tank:

1 droplet = 0.4 cm³

Number of droplets = 352 ÷ 0.4 = 880

Find the time needed for 880 droplets:

4 droplets = 3 seconds

1 droplet = 3 ÷ 4 = 3/4 seconds

880 droplets = 3/4 x 880 = 660 seconds

Find the time in mins:

60 seconds = 1 min

660 seconds = 660/60 min = 11 mins

Find the number of droplets filled in 3 hours 40 mins

3 hours 40 mins = 3 x 60 + 40 mins = 220 mins

11 mins = 880 droplets

1 min = 880 ÷ 11 = 80 droplets

220 mins = 80 x 220 = 17600 droplets

Find the number of vessels:

1 vessel =  880 droplets

Number of vessels = 17600 ÷ 880 = 20 vessels

Answer: (1) 11 mins (2) 20 vessels