Math

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The surface area of a cylinder is 200cm. The diameter is equal to the height. Find the radius.

  • Math -

    V= πr^2h, but h = r
    so V=πr^3 = 200
    r^3 = 200/π
    r = appr. 4 cm .......(I had 3.9929)

  • Scratch my reply - Math -

    Forget this
    I read it as volume
    Time to go to bed.

    SA = 2πr^2 + 2πrh , but h=r
    = 2πr^2 + 2πr^2 = 4πr^2

    4πr^2 = 200
    r^2 = 200/4π
    r = 3.989 or appr. 4

    Well, what do you know, the answers were the same.

  • Math -

    FYI
    Reiny, I didn't see that you had already solved this problem before I answered the same same post below.

    I noticed are answers were different.

    The height = diameter, not radius.

    I am not sure if 'Scratch my reply" means your 1st answer here or your 2nd answer.

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