2. a. The net of a cylinder consists of what figures? b. Draw a net of a cylinder with a height of 4 cm and base radius of 1 cm .

To solve the problem, let's break it down into two parts: ### Part a: Figures that make up the net of a cylinder The net of a cylinder consists of: 1. **Two circles**: These represent the top and bottom bases of the cylinder. 2. **One rectangle**: This rectangle wraps around the sides of the cylinder. The height of the rectangle is equal to the height of the cylinder, and the width is equal to the circumference of the base circle. ### Part b: Drawing the net of a cylinder To draw the net of a cylinder with a height of 4 cm and a base radius of 1 cm, we need to calculate the circumference of the base circle first. 1. **Calculate the circumference (C)** of the base circle using the formula: \[ C = 2\pi r \] where \( r \) is the radius. 2. **Draw the two circles** for the top and bottom bases. 3. **Draw the rectangle** with a height of 4 cm and a width equal to the circumference calculated. Let's perform the calculation for the circumference. Using \( r = 1 \) cm: \[ C = 2\pi(1) = 2\pi \text{ cm} \] Now, I will draw the net of the cylinder. ### Drawing the Net of the Cylinder 1. **Two circles** with a radius of 1 cm. 2. **One rectangle** with a height of 4 cm and a width of \( 2\pi \) cm. Since I cannot draw directly, I will describe how to visualize it: - Draw two circles, each with a radius of 1 cm, positioned above and below each other. - Draw a rectangle that connects the two circles. The rectangle should have a height of 4 cm and a width of \( 2\pi \) cm (approximately 6.28 cm). This will give you the net of the cylinder. If you need a graphical representation, please let me know!