Results 1 to 4 of 4

Math Help - Crazy problem

  1. #1
    Junior Member
    Joined
    Aug 2008
    Posts
    27

    Crazy problem

    Greetings everyone,

    my calc teacher thought it would be funny to assign an extremely hard problem for us to do because he was mad that the majority of the class failed an exam. So as punishment he wants us to figure out how to solve this problem which I don't really know why he would want us to do so considering he doesn't teach us anything! I'm currently reading over a few chapters, but I can't see to find any problem similar to the one he assigned. Anyway if anyone could possibly point me in the right direction and possibly help me with this insane problem I would greatly appreciate it.

    Here is the beastly problem.

    [img=http://img197.imageshack.us/img197/6732/krazyprobleml.th.png]
    Thank you all for you time.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie aleph1's Avatar
    Joined
    Feb 2009
    From
    Virginia Beach VA
    Posts
    11

    Find cylinder area as function of h and r

    Quote Originally Posted by Rainy2Day View Post
    Greetings everyone,

    Anyway if anyone could possibly point me in the right direction and possibly help me with this insane problem I would greatly appreciate it.

    Here is the beastly problem.

    [img=http://img197.imageshack.us/img197/6732/krazyprobleml.th.png]
    Thank you all for you time.
    Find the standard formulas for area of disks and cylinders and for volume of cylinders. You should already know these formulas or how to compute them from basic geometry.

    Use the givens (only the fluid volume is required for the solution).

    Follow instructions in step 5 on the graphing calculator.

    This is no beast. Just a word problem, using a calculator to find a minimum solution. Do not get overwhelmed.

    Givens:

    fluid volume: 44 cm^3

    fluid container:
    cylinder hight: 5.1 cm
    cylinder diameter: 3.8 cm (radius = 1.9 cm)

    Cap height: 4.1 cm
    Cap diameter: 3.8 cm (radius = 1.9 cm)
    Box: 13.3 cm x 7 cm x 4.1 cm

    Equations:
    (1) circumference (function of r) ?=
    (2) Area of cylinder side surface = curcumference x height, S_side(r,h) ?=
    (3) End surface area = area of disk (function of r) S_disk(r) ?=
    (4)Area of cylinder function of r and h = side surface area + (2 x end surface area), S_cyl(r,h) ?=
    (5) Volume of cylinder function of r and h = area of disk x height, V(r,h) ?=

    Height = fixed Volume / disk area
    h as function of r, h = 44 cm^3 / disk area
    (6) h =?
    or
    (7) Area = fixed volume / height, Area = 44 cm^3 / h
    r as function of h,
    (8) r ?=

    Use equation (6) to replace h in (4)
    (9) Area of cylinder as function of r, S_cyl(r) ?=
    or
    Use equation (8) to replace r in (4)
    (10) Area of cylinder as function of h, S_cyl(h) ?=

    Follow directions of step 5 with graphing calculator.
    ...
    Last edited by aleph1; June 12th 2009 at 01:46 PM. Reason: spelling, duplicate word
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Aug 2008
    Posts
    27
    thanks i'll try doing what you said.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Aug 2008
    Posts
    27
    For # 1. Surface Area = 2((π)(1.9cm)2)+(2π(1.9cm)) * (9.2cm) =132.51 cm^2

    and for # 2. A= 2πr 2+2v/r

    I'm not sure if I did number two right. If possible could anyone verify?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Please help this problem is driving me crazy
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: January 30th 2010, 05:45 PM
  2. Crazy parametric problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 29th 2009, 04:35 PM
  3. crazy pre-calc/geometry problem
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: April 27th 2009, 03:13 PM
  4. integer problem (please help me! Im going crazy!)
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: September 28th 2008, 11:55 AM
  5. Crazy percent problem
    Posted in the Math Topics Forum
    Replies: 9
    Last Post: January 19th 2007, 12:53 PM

Search Tags


/mathhelpforum @mathhelpforum