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

Answer:

The formula to solve for height​ is;

$h=\frac{s}{2\pi r}-r$

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;

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

The formula to solve for height​ is;

$h=\frac{s}{2\pi r}-r$