Question

a cylinder has a height of 20 feet and a diameter of 20 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 20 feet, so the radius \( r=\frac{20}{2} = 10\) 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 \( r = 10\) feet, \( h=20\) feet, and \(\pi\approx3.14\). Substituting these into the formula:
\(V=3.14\times(10)^{2}\times20\)
First, calculate \((10)^{2}=100\). Then, \(3.14\times100 = 314\). Then, \(314\times20=6280\).

Answer:

6280.00