Donut & Tea

Calculus Level 4

A donut with hollow circle of radius \(r\) and cross section circle of radius \(r\) is shaped along with 3 copies of series of cuboids with height \(2r\) and square-bases with decreasing side of \(\dfrac{2r}{n}\), where \(n\) is a positive integer.

As \(n\) approaches infinity, the cross section from the top will tend to a T-like base as shown above.

Which figure would have more volume as \(n\) reaches infinity?

×

Problem Loading...

Note Loading...

Set Loading...