Math, asked by krushna1901, 10 months ago

Water flows @ 10m per minute through a cylindrical pipe having its diameter 20 millimetre. How much time will it take to fill a conical vessel of base diameter 40 cm and 24 cm.​

Answers

Answered by Rutuj23
5

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Answered by Anonymous
2

Answer:

Answer is 32 minutes

Step-by-step explanation:

We need the volume of water flowing through the cylindrical pipe in 1 minute.

10 mm = 1cm

1m = 100 cm

Diameter= 20/10 = 2 cm

Radius = 2/2 = 1 cm

volume \:  = \pi \:  {r}^{2} h \\  \:  \:  \:  \:  \:   \:  \:  \:  \:  = 3.142 \times 1 \times 1 \times 100  \: in \: one \: minute \\ volume \: of \: the \: cone \:  =  \\ radius =  \frac{40}{2}  = 20cm \\ volume =  \frac{1}{3}  \times 3.142 \times 20 \times 20 \times 24 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 10054.4 {cm}^{3}  \\ in \: one \: minute \: 314.2 {cm}^{3} is \: emptied \: in \: the \: tank \\ time \: taken \: for \: 10054.4  {cm}^{3}  \\  \\  \frac{10054.4}{314.2 \times 1}  = 32 \\  = 32 \: minutes

It take 32 minutes to fill the tank.

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