Question

a cylinder has a height of 7.7 feet and a diameter of 24 feet. what is its volume? round your answer to the nearest hundredth. cubic feet

Explanation:

Step1: Find the radius

The radius \(r\) is half of the diameter. Given \(d = 24\) feet, so \(r=\frac{d}{2}=\frac{24}{2}=12\) feet.

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 12\) feet and \(h=7.7\) feet into the formula.

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Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(V = 1108.8\times3.14159\approx3483.16\)

Answer:

\(3483.16\)