The lateral surface area of a cylinder is given by the formula S=2 \pirh. Solve the equation for r.
s = 2 (pi) r h.....for r
divide both sides by 2 pi * h
s / (2(pi)h = r
The equation for r is given by:
\(r=\dfrac{S}{2\pi h}\)
It is given that:
The lateral surface area of a cylinder is given by the formula S=2πrh.
where π is an irrational number. r denotes the radius of the base of the cylinder and h denote the height of the cylinder.
Now, we are asked to solve for r.
i.e. we need to express r in terms of other variables with the help of the given formula.
Hence, we get:
\(r=\dfrac{S}{2\pi h}\)