Question

what is the exact volume of a cylinder whose radius is 13 meters and whose height is 20 meters? enter your answer, in terms of π, in the box. m³

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: Substitute the given values into the formula

Given \(r = 13\) meters and \(h=20\) meters. First, calculate \(r^{2}\): \(r^{2}=13^{2}=169\). Then, substitute into the formula: \(V=\pi\times169\times20\).

Step3: Perform the multiplication

\(169\times20 = 3380\), so \(V = 3380\pi\)

Answer:

\(3380\pi\)