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C2 Differentiation - Tearing Hair Out, Please Help! watch

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    I honestly have no idea how to approach this question, and it is driving me bonkers! Could someone please tell me what kind of procedure to follow with this, and I bet it's quite simple as well, which just aggravates me even more!

    Thank you very much

    A container made from thin metal is in the shape of a rigth circular cylinder with height h cm and base radius r cm. The container has no lid. When full of water, the container holds 500cm3 of water.

    Show that the exterior surface area, A cm^2, of the container is given by:

    A = 'pi' r ^ 2 + 1000 / r
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    (Original post by Toffee_Kid)
    I honestly have no idea how to approach this question, and it is driving me bonkers! Could someone please tell me what kind of procedure to follow with this, and I bet it's quite simple as well, which just aggravates me even more!

    Thank you very much

    A container made from thin metal is in the shape of a rigth circular cylinder with height h cm and base radius r cm. The container has no lid. When full of water, the container holds 500cm3 of water.

    Show that the exterior surface area, A cm^2, of the container is given by:

    A = 'pi' r ^ 2 + 1000 / r

    formula for surface area is pir^2, for the base then 2pi.r times h (the rectangle if you like)

    and we know that volume = h x pir^2 = 500

     500 = h\pi r^2

     \frac{500}{\pi r^2} = h

    sub into area A = \pi r^2 + 2\pi rh

    A = \pi r^2 + 2\pi r  \times \frac{500}{\pi r^2}

    A = \pi r^2 +\frac{1000}{r}

    no need for differentiation yet
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    If you wanted to differentiate it then write out V= and differentiate with respect to x.
 
 
 
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