Question

find the volume of the cone. volume formula: v = \frac{\pi r^{2}\cdot h}{3} use 3.14 for \pi. begin by finding the length of the radius. r = ? in h = in v = in^{3}

Explanation:

Step1: Find the radius

The diameter is \(6\) in. Since \(r=\frac{d}{2}\), then \(r = \frac{6}{2}=3\) in.

Step2: Identify the height

The height \(h = 8\) in.

Step3: Calculate the volume

Use the formula \(V=\frac{\pi r^{2}h}{3}\). Substitute \(r = 3\), \(h = 8\), and \(\pi=3.14\).

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Answer:

\(r = 3\) in, \(h = 8\) in, \(V=75.36\) in\(^{3}\)