Question

a cylinder has a height of 12 feet and a diameter of 26 feet. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth.

cubic feet

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Explanation:

Step1: Find the radius

The diameter is 26 feet, so the radius \( r=\frac{26}{2} = 13\) feet.

Step2: Recall the volume formula for a cylinder

The volume \( V\) of a cylinder is given by \( V=\pi r^{2}h\), where \( r\) is the radius and \( h\) is the height.

Step3: Substitute the values

We know \( r = 13\), \( h=12\), and \( \pi\approx3.14\). So \( V=3.14\times13^{2}\times12\).
First, calculate \( 13^{2}=169\). Then \( 3.14\times169 = 530.66\). Then \( 530.66\times12=6367.92\).

Answer:

\( 6367.92\)