Question

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

Answer 1

Answer:

h = S - 2πr²     /2πr

Step-by-step explanation:

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

To solve;

S = 2πrh + 2πr²

The first thing to do is to subtract 2πr²  from both-side of the equation

S - 2πr²  =   2πrh  +  2πr² - 2πr²

S - 2πr²  =   2πrh

Then next is to divide both-side of the equation by 2πr

S - 2πr²  /  2πr  =  2πrh /2πr

On the right-hand side of the equation 2πr at the numerator will cancel-out 2πr at the denominator, leaving us with just h  while on the left-hand side of the equation S-2πr² will be divided by 2πr)

S - 2πr²  /  2πr     =      h

Therefore the result should be h = S - 2πr²  /  2πr

Answer 2

Step-by-step explanation:

$S = 2\pi rh + 2\pi {r}^{2} h \\ \\ \therefore \: S = (2\pi r + 2\pi {r}^{2}) h \\ \\ \therefore \: S = 2\pi r(1 + {r}) h \\ \\ \huge \purple{ \boxed{\therefore \: h = \frac{S}{2\pi r(1 + {r})} }}$