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Mathematics 9 Online
OpenStudy (anonymous):

some1 help plzzzzz find the max volume of an open top cylinder with surface area 200cm

OpenStudy (anonymous):

plzzzzzzzzzzzz help

OpenStudy (anonymous):

the surface area is \[\pi r^2 + 2 \pi r h\]

OpenStudy (anonymous):

where r is the radius and h is the height

OpenStudy (anonymous):

and that must be equal to 200

OpenStudy (anonymous):

\[A= 2 \pi r h +\pi r^2 \]

OpenStudy (anonymous):

\[A= 200\]

OpenStudy (anonymous):

\[V= \pi r^2 h \]

OpenStudy (anonymous):

etc,

OpenStudy (anonymous):

solve the first eqn for h, sub ito the second eqn, differentiate , set to zero

OpenStudy (anonymous):

can u help me do that plz

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