Question

a cone has a height of 12 mm and a diameter of 8 mm. what is the volume of the cone? v = □π mm³

Explanation:

Step1: Calculate the radius

The diameter \(d = 8\) mm, so the radius \(r=\frac{d}{2}=\frac{8}{2}=4\) mm.

Step2: Use the cone volume formula

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4\) mm and \(h=12\) mm into the formula:

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Answer:

\(64\)