Question

what is the volume of this cylinder in cubic millimeters? 4 mm 9 mm 36π 72π 144π 324π

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

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

From the problem, \(r = 4\) mm and \(h=9\) mm.

Step3: Substitute the values into the formula

Substitute \(r = 4\) and \(h = 9\) into \(V=\pi r^{2}h\). We get \(V=\pi\times(4)^{2}\times9\).
First, calculate \((4)^{2}=16\). Then \(V=\pi\times16\times9\).
Next, \(16\times9 = 144\). So \(V = 144\pi\) cubic millimeters.

Answer:

\(144\pi\)