Question 839438
A right cylinder is constructed such that the sum of its radius and twice its height is 18.
x + 2h = 18
2h = (18-x)
h = (9-.5x)
 What should the radius and height be in order to create a cylinder of maximum volume?
 The radius is represented by x.
:
V = {{{pi*x^2*h}}}
replace h with (9-.5x)
V = {{{pi*x^2*(9-.5x)}}}
graphically
{{{ graph( 300, 200, -6, 30, -200, 1500, pi*x^2*(9-.5x)) }}}
Max volume at x=12 is the radius
find the height
h = 9 - .5(12)
h = 3 is the height