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To solve for the volume of the cylinder and complete the worksheet, let's go through each step based on the information provided:

### 1. Area of the Base (Circle)
The base of the cylinder is a circle with radius \( r = 4 \) inches. The area \( A \) of a circle is calculated using the formula:
\[
A = \pi r^2
\]
Using \( \pi \approx 3.14 \):
\[
A = 3.14 \times 4^2 = 3.14 \times 16 = 50.24 \text{ square inches}
\]
So, the area of the base is **50.24 square inches**.

### 2. Height of the Cylinder
The height \( h \) of the cylinder is given as **4 inches**.

### 3. Volume of the Cylinder
The volume \( V \) of a cylinder is calculated with the formula:
\[
V = \text{Base Area} \times \text{Height} = A \times h
\]
Using the area of the base from step 1:
\[
V = 50.24 \times 4 = 200.96 \text{ cubic inches}
\]
So, the volume of the cylinder is **200.96 cubic inches**.

### Filling in the Table
Based on our calculations:
- **Area of \( \odot A \):** 50.24 square inches
- **\( \overline{BC} \) (height of Cylinder):** 4 inches
- **Volume of the Cylinder:** 200.96 cubic inches

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the volume change if the height of the cylinder were doubled?
2. How would the area of the base change if the radius were halved?
3. What is the formula for the lateral surface area of a cylinder?
4. How is the volume of a cylinder affected by changes in the radius?
5. Can you explain how to derive the formula for the volume of a cylinder?

**Tip:** Remember that the volume of a cylinder depends on both the square of the radius and the height, making it sensitive to changes in either dimension.

What is the volume of a cylinder with a radius of 4 inches and a height of 4 inches? Use 3.14 as an approximation for π.

Learn how to calculate the volume of a cylinder with a radius of 4 inches and height of 4 inches. This guide includes step-by-step instructions using π ≈ 3.14, suitable for Grades 6-8 geometry problems.

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