Question

Please help me with this question I am trying to help my son but I have forgotten how to solve these problems. The formula for the lateral surface area of a cylinder is S=2πrh, where r is the radius of the bases and h is the height.Solve for r.r=2hπ/Sr=h/2πSr=2Sπhr=S/2πh

Answer 1

We have the following formula:

`S=2\pi\text{ rh}`

and we need to isolate the radius r. Then, we can rewrite the formula as

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

then, by dividing both side by 2Pi h, we have

`(S)/(2\pi h)=(2\pi h)/(2\pi h)\cdot r`

since

`(2\pi h)/(2\pi h)=1`

we get

`\begin{gathered} (S)/(2\pi h)=1\cdot r \\ or\text{ equivalently} \\ (S)/(2\pi h)=r \end{gathered}`

By comparing this result with the given options, the answer is the last option:

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