Marta is solving the equation S = 2Πrh + 2Πr2 for h. Which should be the result?

- r = h

= h

S - = h

S - = h

S = 2πrh + 2πr²

We factor:

S = 2πr (h + r)

S/2πr = h + r

(S/2πr) - r = h

Let us assume:

S = 1000

r = 10

π = 3.14

S = 2πrh + 2πr²

1000 = (2 * 3.14 * 10 * h) + (2*3.14*10²)

1000 = 62.80h + 628

1000 - 628 = 62.80h

372 = 62.80h

372/62.80 = h

5.92 = h

Let us use the derived formula to check if it is correct:

h = S/2πr - r

h = (1000 / (2*3.14*10)) - 10

h = (1000/62.80) - 10

h = 15.92 - 10

h = 5.92