Question

Find the surface area of the cylinder. (SHOW ALL WORK)d = 12 m20 m

Answer 1

To find the surface area of a cylinder, the formula is.

`\text{Surface Area = 2}\pi rh+2\pi r^2`

Where diameter, d, and height, h, is given below as,

`\begin{gathered} d=12m \\ h=20m \end{gathered}`

Where radius, r, is half of the diameter,

`\begin{gathered} r=(d)/(2),\text{ where d =12m} \\ r=(12)/(2)=6m \end{gathered}`

Substituting for r and h into the surface area formula above,

`\begin{gathered} \text{Surface Area =2}\pi rh+2\pi r^2=2\pi r(h+r) \\ \pi\text{ is taken as 3.14} \\ =2(3.14)(6)\lbrack20+6\rbrack=37.68*26=979.68m^2 \end{gathered}`

Hence, the surface area of the cylinder is 979.68m²