please help
calculus: application of maxima and minima

Find the volume of the largest right circular cylinder that can be cut from a circular cone of radius 6 cm and height 9 cm

the V should be 48pi cm^3

Question

please help
calculus: application of maxima and minima

Find the volume of the largest right circular cylinder that can be cut from a circular cone of radius 6 cm and height 9 cm

the V should be 48pi cm^3

ganeshie8 · Answer

what have you tried so far ?

jhannybean · Answer

Looks like an optimization problem

jarp0120 · Answer

i've tried to solve it  but i don't know what to do and also how to insert the derivatives

jarp0120 · Answer

they have the same SA right?

ganeshie8 · Answer

How so ? Maybe, as a start draw a nice sketch of cylinder inside a cone and label the given dimensions

ganeshie8 · Answer

I think, this problem is equivalent to finding the volume of the largest cylinder that can be inscribed inside a cone..

jarp0120 · Answer

ohw now i get the figure

jarp0120 · Answer

|dw:1443926956736:dw|
like this?

jhannybean · Answer

|dw:1443926942036:dw|

jhannybean · Answer

Yeah there you go lol.

ganeshie8 · Answer

That looks good! label the given dimensions also..

ganeshie8 · Answer

show radius 6 and height 9 in the diagram

anonymous · Answer

|dw:1443937323135:dw|
volume of cylinder
$$V = \pi r^2 h$$

jhannybean · Answer

Naice.

jarp0120 · Answer

|dw:1443927181720:dw|