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Show that the height of an open cylinder of given surface area and greatest volume is equal to the radius of the base?

Vishal Sangya , 14 Years ago
Grade 12
anser 1 Answers
Chetan Mandayam Nayakar

S=(pi)r^2 +2(pi)rh

V=(pi)hr^2=Sh-2(pi)rh^2

S is constant and dV/dh=0,

S=4(pi)rh=2(pi)rh+(pi)r^2

2rh=r^2, h=r/2

 

 

Last Activity: 14 Years ago
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