Question

How do I solve this for h?

Answer 1

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

Explanation:

A = 2πr² + 2πrh ( subtract 2πr² from both sides )

A - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )

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

Answer 2

Explanation:

A=2pir^2+2pirh

A=2pir(r+h)

A/(r+h)=2pir

(r+h)/A=1/2pir

r+h=A/2pir

h=(A-2pir^2)/2pir