Question

7m11mFor the figure above, use 3.14 for pi and round to the nearest hundredth, if necessary. Determine the Lateral and Totalsurfacearea:

Answer 1

First we will obtain the lateral surface area

`Lateral\text{ SA}=2\pi rh`

we have

h=11m

r=7m

we substitute the values

`Lateral\text{ SA}=2(3.14)(7)(11)`

`Lateral\text{ SA}=483.56m^2`

For the total surface area we will use the next formula

`\text{Total SA}=2\pi r^2+Lateral\text{ SA}`

we substitute the values

`\begin{gathered} \text{Total SA}=2(3.14)(7)^2+483.56 \\ \end{gathered}`
`\text{Total SA}=791.28m^2`