cateater2000
Sep27-04, 07:00 PM
A conical cup is to be made by joining the edges OA, OB of the sector of a circle of radius 8cm. What angle @ gives the cup of maximum volume?
I'm having trouble solving this question. This is what I have done so far
we know V=pi*r^2*h/3
r is given, so we need to put h in terms of @.
now by similar triangles we can take another slice, and compare
r/h=R/(h-1).... (h-1) is just the height of the triangle below the new slice
solving for h I get h=1/(1-R/r) now i'm unsure of what to do now, and how to get @ into the equation.
Anyways please let me know if i'm doing this question completely wrong or what not. Thanks for all your help
I'm having trouble solving this question. This is what I have done so far
we know V=pi*r^2*h/3
r is given, so we need to put h in terms of @.
now by similar triangles we can take another slice, and compare
r/h=R/(h-1).... (h-1) is just the height of the triangle below the new slice
solving for h I get h=1/(1-R/r) now i'm unsure of what to do now, and how to get @ into the equation.
Anyways please let me know if i'm doing this question completely wrong or what not. Thanks for all your help