Question

find the volume of this cone. use 3.14 for π. volume of a cone v = 1/3 bh = 1/3 πr²h v = ? cm³

Explanation:

Step1: Identify the formula for the volume of a cone

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

Step2: Determine the values of \(r\) and \(h\)

From the problem, \(r = 6\space cm\) and \(h=4\space cm\), and \(\pi = 3.14\).

Step3: Substitute the values into the formula

Substitute \(r = 6\), \(h = 4\), and \(\pi=3.14\) into \(V=\frac{1}{3}\pi r^{2}h\):

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Step4: Simplify the expression

First, \(\frac{1}{3}\times36 = 12\). Then \(V=3.14\times12\times4\).

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Answer:

\(150.72\space cm^{3}\)