Question

Maximum lateral surface area of a cylinder in a cone.

Answer 1

SA of a cylinder is 2pir^2 + 2pirh, but only lateral so only consider 2pirh?
By similar triangles, x/y=h/r, how do i find an equation to find the dimensions of the cylinder with the maximum lateral surface area?

Answer 2

Well, if you have a function of the surface area in terms of either r or h, you want to find the maximum of that, right?

So take the derivative and set it to 0.

Answer 3

lateral surface area do i consider 2pir^2 too?

Answer 4

Nope. The lateral surface area is the surface area excluding the base of the shape.

Answer 5

okay thank you! i think i got it alr!(: