Question

the diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. what is the volume of the tank? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 10\) ft, so \(r=\frac{d}{2}=\frac{10}{2}=5\) ft.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\). Substitute \(\pi = 3.14\), \(r = 5\) ft, and \(h=9\) ft into the formula.

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Step3: Round the result

Round \(706.5\) to the nearest whole number. Since the decimal part is \(0.5\), we round up.

Answer:

\(707\) cubic feet