Question

how many cubic meters of water can be stored in a cylindrical tank that is 2 meters high and 5 meters in circumference?

Explanation:

Step1: Find the radius of the cylinder

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(C = 5\) meters, we can solve for \(r\):
\(r=\frac{C}{2\pi}=\frac{5}{2\pi}\) meters.

Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = \frac{5}{2\pi}\) and \(h = 2\) into the formula:

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Answer:

Approximately \(3.98\) cubic meters.