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# C2 Differentiation - Tearing Hair Out, Please Help! watch

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1. 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
2. (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

sub into area

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

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