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19 October, 19:30

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

- r = h

= h

S - = h

S - = h

+3
Answers (1)
  1. 19 October, 21:45
    0
    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
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