19. Case study: Frustum of a cone

Dhanush cuts the middle height of a metallic right circular cone of height 14 \(cm\) and whose vertical angle \(60^\circ\) into two parts by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter \(\frac{1}{10}\) \(cm\), find the following:

 

 

1. The radius of the lower side of the frustum:

 

2. The radius of the upper side of the frustum:

 

3. The volume of the wire:

 

4. The length of the wire:

 

5. Curved surface area of a frustum of a cone: