For a given cylinder, the radius of the base is 7 cm and its height is 15 cm. What will be the area of its base and its top ?

Answer

To find the area of the base and the top of a cylinder with a radius of 7 cm and a height of 15 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Shape**: Recognize that both the base and the top of the cylinder are circles. The formula for the area of a circle is given by:
\[ \text{Area} = \pi r^2 \]

2. **Identify the Radius**: From the problem, we know that the radius \( r \) of the cylinder is 7 cm.

3. **Substitute the Radius into the Formula**: Plug the radius into the area formula:
\[ \text{Area} = \pi (7)^2 \]

4. **Calculate \( r^2 \)**: Calculate \( 7^2 \):
\[ 7^2 = 49 \]

5. **Use the Value of \( \pi \)**: For calculations, we can use \( \pi \approx \frac{22}{7} \):
\[ \text{Area} = \frac{22}{7} \times 49 \]

6. **Perform the Multiplication**: Simplify the multiplication:
\[ \text{Area} = \frac{22 \times 49}{7} \]
Since \( 49 \div 7 = 7 \):
\[ \text{Area} = 22 \times 7 = 154 \text{ cm}^2 \]

7. **Conclusion**: Since the area of the top and the base are the same, we conclude:
- Area of the base = 154 cm²
- Area of the top = 154 cm²

### Final Answer:
The area of the base and the top of the cylinder is 154 cm² each.

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