Question

12Find the total surface area of a cylinder that has a radius of 6 m and a height of 2 m.User = 3.14 and round your answer to the nearest hundredth.Total surface area =m2

Answer 1

The total surface area of a cylinder is calculated with the formula

`\text{Acylinder}=2* base\text{ area}* curved\text{ surface area}`
`\begin{gathered} \text{base area= }\pi r^2 \\ \text{curved surface area=2}\pi rh \end{gathered}`
`\begin{gathered} A_{\text{cylinder}}=2*\pi r^2+2\pi rh \\ \pi=3.14;r=6m;h=2m \end{gathered}`
`A_{\text{cylinder}}=2*3.14*6^2+2*3.14*6*2`
`\begin{gathered} A_{\text{Cylinder}}=6.28*36+6.28*12 \\ =226.08+75.36 \\ =301.44m^2(\text{nearest hundredth)} \end{gathered}`

Hence, the area of the total surface area of the cylinder is 301.44m²