Question

a cone has a height of 15 feet and a diameter of 18 feet. what is its volume? round your answer to the nearest hundredth. cubic feet

Explanation:

Step1: Find the radius

The diameter \(d = 18\) feet. The radius \(r=\frac{d}{2}\), so \(r=\frac{18}{2}=9\) feet.

Step2: Use the cone - volume formula

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 9\) and \(h = 15\) into the formula.

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Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(V = 405\times3.14159\approx1272.35\)

Answer:

\(1272.35\)