Posted by Josh on Friday, November 9, 2007 at 8:07pm.
your line
SA=2Pi r^2 + 2 Pi r (1131.97/Pi r^2)
reduces to
SA=2Pi r^2 + 2263.94/r
then
SA' = 4(pi)r - 2263.94/r^2
now set this equal to zero for a minimum surface area, so....do the algebra
r^3 = 2263.94/(4pi)
= 180.15862
take the cube root to get r,
go back into 1131.97/(Pi r^2) to get the height
(I got h = 11.296 and r = 5.648
notice that would make the diameter equal to the height, mmmmhhhh?
isn't Calculus wonderful???)
you couldn't show all the working could you? its just that i don't understand how to do them, and can't do them
thanks
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