Question

What is the total surface area of a cylinder with a base diameter of 9 inches and a height of 6 inches? (Use 3.14 for pi )Select one: O 296.73 square inches O 169.56 square inches O 84.78 square inches O 339.12 square inches

Answer 1

We can calculate the surface area of a cylinder by means of the following cylinder:

$A=2\pi rh+2\pi r^2$

Where r is the radius and h the height of the cylinder.

In this case, h equals 6, we are given the diameter of the cylinder instead of its radius, but we can easily find the radius by dividing the diameter by 2:

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{9}{2}=4.5 \end{gathered}$

Now, we just have to replace 6 for h and 4.5 for r into the above equation to get:

$A=2\times3.14\times4.5\times6+2\times3.14\times(4.5)^2=296.73$

Then, the surface area of this cylinder equals 296.73 square inches.