Question

a pipe is cylindrical in shape. its length is 40 meters and it has a diameter of 10 centimeters. how many liters of water will the pipe hold (hint: 1 liter = 1000 cubic centimeters and 1 meter = 100 centimeters) 2 of 7 question 1000πl 100πl 10,000πl 100,000πl

Explanation:

Step1: Convert length to centimeters

Since \(1\) meter \( = 100\) centimeters, the length \(h = 40\) meters \(=40\times100 = 4000\) centimeters.
The diameter \(d = 10\) centimeters, so the radius \(r=\frac{d}{2}=\frac{10}{2}=5\) centimeters.

Step2: Calculate the volume of the cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\).
Substitute \(r = 5\) and \(h = 4000\) into the formula:
\(V=\pi\times5^{2}\times4000=\pi\times25\times4000 = 100000\pi\) cubic centimeters.

Step3: Convert volume to liters

Since \(1\) liter \(= 1000\) cubic centimeters, then the volume in liters is \(\frac{100000\pi}{1000}=100\pi\) liters.

Answer:

\(100\pi\mathrm{L}\) (the second option)