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    "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

    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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