Question

Can you help me find an expression for h please

Answer 1

SO far i have
\[\frac{ 40-x }{ r }=\frac{ 40 }{ 20 }\]

Answer 2

assuming h is the height of the cylinder

Answer 3

What must the radius of the cylinder be to give the cylinder the maximum volume is my question..

Answer 4

\[v=\pi r^2 h\]
so an expression to sub into h

Answer 5

I am not awake!
the proportion is
\[ \frac{40-h}{r}= \frac{40}{20} \]

Answer 6

ok great so i was on the right track. ill go ahead and differentiate now :)

Answer 7

why did u choose 40-h .....where as i did 40-x

Answer 8

or are we talking about the same things?

Answer 9

it depends what you mean by "x"
I used h because h is the height of the cylinder

Answer 10

so then when you did 40-h you meant 40-height of cylinder...so we are left with the top part of cylinder