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How many litres of water will a cylindrical pipe hold if it is 1 m long and 7 cm in diameter? ​

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User Gsgx
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6 votes

Answer:

might help might not

Step-by-step explanation: V = πr^2h

where V is the volume, r is the radius, and h is the height.

First, we need to convert the diameter of the pipe from centimeters to meters, since the length of the pipe is given in meters. We can do this by dividing the diameter by 100:

d = 7 cm = 0.07 m (diameter in meters)

Next, we need to find the radius of the pipe, which is half of the diameter:

r = d/2 = 0.07/2 = 0.035 m (radius in meters)

Now we have all the information we need to calculate the volume of the pipe:

V = πr^2h = π(0.035)^2(1) = 0.001225 m^3

Finally, we need to convert the volume from cubic meters to liters, since the question asks for the volume in liters. There are 1000 liters in 1 cubic meter, so:

V = 0.001225 m^3 × 1000 L/m^3 ≈ 1.225 L

Therefore, the cylindrical pipe will hold approximately 1.225 liters of water.

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User Yoonsun
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