NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1

Question 6

Step 1: Look at the structure of a shuttlecock. It has two main parts:

• The head, which is the part we hit with the racket.
• The feathers (or plastic net), which spread outwards to give the shuttle its shape.

Step 2: The head of the shuttlecock is like half of a solid ball. In geometry, half of a sphere is called a hemisphere.

Step 3: The feathers form a cone-like shape, but the pointed tip is cut off (flat at the top). This shape is called the frustum of a cone.

Step 4: So the shuttlecock is made by combining:

• One hemisphere (for the head)
• One frustum of a cone (for the feather part)

Final Answer: The shuttlecock is a combination of a frustum of a cone and a hemisphere.