Question

Formula for the surface area of a cylinder,
SA = 2/2 + 2nrh, for h
PLEASE HELPP

Answer 1

`(S.A - 2\pi r^(2) )/(2\pi r)`

Explanation:

Formula for the surface area of a cylinder;

Surface area = 2
`\pi`r² + 2
`\pi`rh

Problem:

Make h the subject of the expression;

Solution:

Given expression:

S.A = 2
`\pi`r² + 2
`\pi`rh

Add (- 2
`\pi`r² ) to both sides of the expression:

S.A + ( -2
`\pi`r² ) = ( -2
`\pi`r² ) + 2
`\pi`r² + 2
`\pi`rh

S.A - 2
`\pi`r² = 2
`\pi`rh

Divide both sides by 2
`\pi`r

`(S.A - 2\pi r^(2) )/(2\pi r)` =
`(2\pi rh)/(2\pi r)`

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