Question

Formula for the surface area of a cylinder, SA = 2πr2 + 2πrh, for h

Please show work please similar to the picture

Answer 1

S = 2πr² + 2πrh
S = 2πr(r) + 2πr(h)
S = 2πr(r + h)
S/2πr = r + h
(S/2πr) - r = h

Answer 2

The subject of formula SA = 2πr² + 2πrh solved for the variable h is h = (SA - 2πr²)/2πr

How to change the subject of formula for the variable h

From the question, we have the following parameters that can be used in our computation:

SA = 2πr² + 2πrh

This can be expressed as

2πrh = SA - 2πr²

Divide both sides of the equation by 2πr

So, we have the following

h = (SA - 2πr²)/2πr

Hence, the subject of formula solved for the variable h is h = (SA - 2πr²)/2πr