Question

A2cm diameter hose pipe can carry at most 40 litre of water per minute.if a new hose pipe with a diameter equal to 1.5 cm is installed, how much water will it carry? if the amount of water that the pipe can hold depends upon the square of the diameter
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Answer 1

The pipe with a diameter of 1.5 cm can carry 22.5 L of water

Step-by-step explanation:

The volume carried by the pipe was proportional to the square of the diameter

Thus;

V α d2

V = k. d2

where;

V = volume of water; d = diamter of the pipe; k = proportionality constant

In case 1;

Volume carried by the pipe = 40 L

Diameter of the pipe = 2 cm

Thus, Using the above equation;

40 = k x (2)2   ……………… (1)

Using case 2;

Assume that volume carried by the pipe is V1

The diameter of the pipe = 1.5 cm

Thus;

V1 = k x (1.5)2……………… (2)

Dividing Eqs 1 and 2

40/ V1 = (k x 4) / (k x 2.25)

V1 = (40 x 2.25) / 4

     = 22.5 L

Thus, the pipe with a diameter of 1.5 cm can carry 22.5 L of water

Answer 2

Answer:

22.5 litre

Step-by-step explanation:

Amount is directly proposal to

d^2

.<br> Amount

=kd^2

<br>

40=4k

<br>

k=10

<br> Amount

=10d^2

<br> Amount

=10*(1.5)^2

<br> Amount

=10*2.25=22.5

litres/min.