Results 1 to 2 of 2

Math Help - Infinite snowman question

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    1

    Infinite snowman question

    Any help would be greatly appreciated: Consider the “infinite snowman”, where each ball of the snowman has half the diameter of ball below and the first ball has diameter 1. What is the height of this snowman? What is the total volume of this shape? What is the total surface area? (Hint: It will help if you first find and expression for rn, the radius of the nth ball).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by sirduke View Post
    Any help would be greatly appreciated: Consider the “infinite snowman”, where each ball of the snowman has half the diameter of ball below and the first ball has diameter 1. What is the height of this snowman? What is the total volume of this shape? What is the total surface area? (Hint: It will help if you first find and expression for rn, the radius of the nth ball).
    Hint: the radii make a geometric sequence, with first term 1, and the common ratio 1/2

    see where you get with that
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Infinite Number Question
    Posted in the Algebra Forum
    Replies: 9
    Last Post: September 5th 2010, 06:03 PM
  2. A question on infinite derivative.
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: June 7th 2010, 07:50 PM
  3. Infinite Limit Question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 10th 2010, 12:13 AM
  4. infinite series question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 27th 2008, 11:00 AM
  5. Calc question, infinite sum
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 10th 2007, 06:41 PM

Search Tags


/mathhelpforum @mathhelpforum