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