Question

Solve for h
A=2πrh+πr^2

Answer 1

h =
`(A)/(2pr)` -
`(r)/(2)`

Explanation:

(p is π)

A = 2prh + pr²

factor out pr:

A = pr(2h + r)

divide both sides by pr:

`(A)/(pr)` = 2h + r

subtract r from both sides:

`(A)/(pr)` - r = 2h

divide both sides by 2:

`(A)/(2pr)` -
`(r)/(2)` = h

h =
`(A)/(2pr)` -
`(r)/(2)`