Question

Area of a cylinder: S = 2лr² + 2лrh; solve for h.

Answer 1

Answer:
`h=(S-2\pi r^2)/(2\pi r)`Step-by-step explanation:

The given equation for the area of a cylinder is:

S = 2πr² + 2лrh

Subtract 2πr² from both sides

S - 2πr² = 2πr² - 2πr² + 2лrh

S - 2πr² = 2лrh

Divide both sides 2лr

`\begin{gathered} (S-2\pi r^2)/(2\pi r)=(2\pi rh)/(2\pi r) \\ \\ h=(S-2\pi r^(2))/(2\pi r) \end{gathered}`