Solve for the indicated variable. A =πr^2 + 2πrh for h h = ?

Question

Solve for the indicated variable.


`A =`π
`r^2 + 2`π
`rh` for
`h`

h = ?

Answer 1

(A - pi r^2)/ 2 pi r= h

Explanation:

A = pi r^2 + 2 pi rh

First subtract pi r^2 from each side

A - pi r^2= pi r^2 + 2 pi rh - pi r^2

A - pi r^2= 2 pi rh

Now divide each side by 2pi r

(A - pi r^2)/ 2 pi r= 2 pi rh / 2pi r

(A - pi r^2)/ 2 pi r= h