Question

the surface area s of a right circular cylinder is calculated using the formula s=2πr(r+h) where r is the radius of the cylinder and h is the height of the cylinder rearrange the formula to solve for height

Answer 1

The formula to solve for height​ is;

`h=(s)/(2\pi r)-r`

Step-by-step explanation:

Given that the surface area s of a right circular cylinder is calculated using the formula;

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

We want to make h, the subject of formula;

`\begin{gathered} s=2\pi r(r+h) \\ \text{divide both sides by 2}\pi r \\ (s)/(2\pi r)=(2\pi r(r+h))/(2\pi r) \\ (s)/(2\pi r)=r+h \\ \text{subtract r from both sides;} \\ (s)/(2\pi r)-r=h \\ h=(s)/(2\pi r)-r \end{gathered}`

The formula to solve for height​ is;

`h=(s)/(2\pi r)-r`