A teacher has to teach the subject volume and surface area of a cylinder and a cone.
The skill based objective of teaching will be

Options

A. the pupil will be able to distinguish between features of a cylinder and a cone
B. the pupil will be able to draw the figure of a cylinder and a cone
C. the pupil will be able to recall the formulae for calculating volume and surface area of cylinder and cone
D. the pupil will be able to find the height of a cone when a given cylinder is melted into cone

Answer

To determine the skill-based objective of teaching the volume and surface area of a cylinder and a cone, we can break down the process into several steps:

### Step-by-Step Solution:

1. **Identify the Key Concepts**: The teacher needs to focus on the main concepts involved in the topic, which are the volume and surface area of both a cylinder and a cone.

**Hint**: Think about what fundamental properties define a cylinder and a cone.

2. **Define Learning Objectives**: Establish clear learning objectives that reflect what students should be able to do after the lesson. These could include distinguishing between the two shapes, understanding their properties, and applying formulas.

**Hint**: Consider what skills are essential for students to grasp the differences and similarities between the two shapes.

3. **Evaluate Options for Objectives**: Analyze the provided options to see which aligns best with the skill-based objectives. The options include:
- Distinguishing features of cylinder and cone.
- Drawing the figures of a cylinder and a cone.
- Recalling formulas for volume and surface area.
- Finding the height of a cone when a cylinder is melted into it.

**Hint**: Assess whether each option promotes understanding or just rote memorization.

4. **Select the Most Relevant Objective**: After evaluating the options, the most relevant objective is that students should be able to distinguish between the features of a cylinder and a cone. This understanding is foundational for further learning.

**Hint**: Think about which skill will enable students to engage with the material in a meaningful way.

5. **Justify the Selection**: Explain why the chosen objective is the most effective. Understanding the features of both shapes will allow students to draw them accurately and apply the formulas correctly in future problems.

**Hint**: Reflect on how understanding shapes leads to better problem-solving skills.

### Final Objective:

The skill-based objective of teaching the volume and surface area of a cylinder and a cone is: **"The pupil will be able to distinguish between the features of a cylinder and cone."**