Question

the diameter of a cylindrical water tank is 11 ft, and its height is 10 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 formula for the volume of a cylinder is \(V=\pi r^{2}h\). Given the diameter \(d = 11\) ft, the radius \(r=\frac{d}{2}=\frac{11}{2}=5.5\) ft.

Step2: Substitute the values into the volume formula

We know that \(\pi = 3.14\), \(r = 5.5\) ft, and \(h=10\) ft. Substitute these into \(V=\pi r^{2}h\):

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Step3: Round to the nearest whole number

Rounding \(949.85\) to the nearest whole number gives \(950\).

Answer:

\(950\) \(ft^{3}\)