A shuttle cock used for playing badminton has the shape of the combination of

Options

A. a cylinder and a sphere
B. a cylinder and a hemisphere
C. a sphere and cone
D. frustum of a cone and a hemisphere

Explanation

To solve the question regarding the shape of a shuttlecock used for playing badminton, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Shape of a Shuttlecock**:
- A shuttlecock consists of two main parts: the upper part which holds the feathers and the lower part which is typically rounded.

2. **Identifying the Geometric Shapes**:
- The upper part of the shuttlecock resembles a frustum of a cone because it has a wider top and a narrower bottom.
- The lower part of the shuttlecock is shaped like a hemisphere, which is a half of a sphere.

3. **Combining the Shapes**:
- Therefore, we can conclude that the shuttlecock is a combination of a frustum of a cone (for the feather part) and a hemisphere (for the rounded bottom part).

4. **Evaluating the Options**:
- Now, let's evaluate the given options:
- Option 1: Combination of a cylinder and a sphere - **Incorrect**
- Option 2: Combination of a cylinder and a hemisphere - **Incorrect**
- Option 3: Combination of a sphere and a cone - **Incorrect**
- Option 4: Combination of a frustum of a cone and a hemisphere - **Correct**

5. **Final Conclusion**:
- The correct answer is that a shuttlecock is a combination of a frustum of a cone and a hemisphere.