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# C2 Differentiation Question watch

1. "A closed cylinder has total surface area equal to 600 TT. Show that the volume, V cm^3, of this cylinder is given by V = 300 TT r - TT r ^3, where r cm is the radius of the cylinder.

Find the maximum volume of such a cylinder.

So far I've drawn a sketch and labelled the radius r.

600 = 2TTr^2 + 2TTrh

Im confused now

Thanks for any help
2. what is volume of a cylinder (1) ?

what letter is missing from (1) in V = 300 TT r - TT r ^3,

do you have a way of replacing the extra letter using surface area?

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Updated: January 19, 2010
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