NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1Question 6
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1
Question. 6
A shuttlecock used for badminton has the shape of the combination of
(A)
a cylinder and a sphere
(B)
a cylinder and a hemisphere
(C)
a sphere and a cone
(D)
frustum of a cone and a hemisphere
Detailed Answer with Explanation:
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.