Question

Find the following formula gives the total surface area of a cylinder with a radius R and height H find the total surface area of a cylinder with a radius of nine and height seven

Answer 1

We are given that the surface area of a cylinder is:

`S=2\pi r(r+h)`

Where:

`\begin{gathered} r=\text{ radius} \\ h=\text{ height} \end{gathered}`

We are given a radius of 9 and a height of 7. Substituting in the formula:

`S=2\pi(9)(9+7)`

Solving the operation inside the parenthesis:

`S=2\pi(9)(16)`

Solving the product:

`S=288\pi`

Therefore, the surface area is 288pi.