Thread: 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).

Originally Posted by sirduke

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