# stepping in...

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Posted by Denis Borris on October 08, 2002 at 22:48:24:

In Reply to: Answers to other questions posted by Subhotosh Khan on October 08, 2002 at 12:09:22:

: : I understand what needs to be done, Mr K, but can't finish it.
: : Too many things I haven't seen before.
: : :mAOB = T
: : I understand "AOB", but what is T? degrees, like 75 degrees? Yes
: : What does "m" mean? It is short of "measure of" or "value of" angle AOB
: : :From that you can get the area of the base(A_1)
: : Why do I need to get the area? Look below
: : :volume of small cone (V_1)=1/3*R*A
: : where does that come from? V = (pi r^2 h) / 3, is it not? In this case A = pi * r^2 .... and h = R (the radius of the circle you started with) so we are talking about the same thing
: ***********************************
: Assume mAOB = T (in radians)
: So chord AB = R * T (definition of angle)
: So the circumference of the base of the small cone
: 2* pi * r = R * T ? (r = radius of the circular base of the small cone)
: r = R * T/(2*pi)
: V_1 = (pi)* r^2 * h / 3
: = (pi)* [R * T/(2*pi)]^2 * R / 3
: = R^3/(12*pi) * T^2
: Similarly find V_2

was fooling around with this; interim question, Mr K (I'm rusty with cones!):

height of smaller cone = Rsqrt(360^2 - T^2) / 360

height of bigger cone = Rsqrt[T(720 - T)] / 360

are those correct?

if Mr K says "yes", hope I've helped you Kurt!!

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