Question

a storage drum in the shape of a cylinder is 3 feet tall and has a diameter of 4 feet. what is the total surface area of the storage drum? use 3.14 for π and round the answer to the nearest tenth. recall the formula ( sa = 2pi r^{2}+2pi rh ).

Explanation:

Step1: Find the radius

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

Step2: Substitute values into the formula

We have \(r = 2\) feet and \(h=3\) feet, \(\pi = 3.14\).
The surface - area formula is \(SA=2\pi r^{2}+2\pi rh\).
First term: \(2\pi r^{2}=2\times3.14\times2^{2}=2\times3.14\times4 = 25.12\).
Second term: \(2\pi rh=2\times3.14\times2\times3=37.68\).

Step3: Calculate the total surface area

\(SA=25.12 + 37.68=62.8\).

Answer:

\(62.8\)