Question

A company fabricates cast concrete cylindrical columns for a new pavillon. The columns are 3 meters tall and have a radius of 0.6 meters. Whatis the approximate surface area of a single column?OA 13.57 m2OB. 5.65 m2OC 6.78 m2OD. 11.31 m2

Answer 1

The Solution:

Representing the given problem in a diagram, we get:

We are required to find the approximate surface area of a single column.

Note:

The above shape is made up of 3 surfaces, which are:

2 circles and 1 curved surface.

So, the formula for the surface area of a cylinder is:

$S.A=2\pi rh+2\pi r^2=2\pi(rh+r^2)$

In this case,

$\begin{gathered} r=0.6m \\ h=3m \end{gathered}$

Substituting these values in the above formula, we get

$SA=2\pi\lbrack(0.6\times3)+0.6^2\rbrack=13.57168\approx13.57m^2$

Therefore, the correct answer