Imagine you are stacking an infinite number of spheres of decreasing radii on top of each other,

Question:

Imagine you are stacking an infinite number of spheres of decreasing radii on top of each other, as shown in the figure. The radii of the spheres are 1 meter, 1/√2 meter, 1/√3 meter, and so on. The spheres are made of a material that weighs 1 newton per cubic meter.(a) How high is this infinite stack of spheres?(b) What is the total surface area of all the spheres in the stack?(c) Show that the weight of the stack is finite.