Question

a storage drum in the shape of a cylinder is 5 feet tall and has a diameter of 8 feet. what is the volume of the storage drum? use 3.14 for π and round the answer to the nearest tenth. recall the formula ( v=pi r^{2} h ).

Explanation:

Step1: Find the radius

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

Step2: Substitute values into the formula

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Given \(\pi = 3.14\), \(r = 4\) feet, and \(h=5\) feet.
Substitute these values: \(V=3.14\times4^{2}\times5\).
First, calculate \(4^{2}=16\). Then \(V = 3.14\times16\times5\).
Since \(16\times5 = 80\), then \(V=3.14\times80\).

Step3: Calculate the volume

\(V=3.14\times80=251.2\) cubic feet.

Answer:

\(251.2\)