Im doing a differentiation problem and somewhere i am going wrong so I am just going to type out my work and see if anyone can help
Surface are of cylinder is 60cm and we need to find the maximum and minimum volume
h+r= 60/2pi r
h+r=30/ pi r
h= (30/pi r) -r
h= (30-pi r^2)/ pi r)
placing h into volume formula
v= pi r^2*h
substituting h leaves -pi r^3+30r
where do i go from here.
how do i find the maximum and minimum??