Everyday Objects That Are Cylinders: Visual Examples

📚 Quick Study Guide

• 🔢 A cylinder is a 3D geometric shape with two parallel circular bases connected by a curved surface.
• 📏 Key properties include: radius ($r$), height ($h$), and diameter ($d = 2r$).
• ➗ The volume ($V$) of a cylinder is calculated as: $V = \pi r^2 h$.
• 📦 Surface area ($SA$) is calculated as: $SA = 2\pi r^2 + 2\pi r h$. This includes the area of both circular bases and the curved surface.
• 📐 Remember that the bases must be perfectly circular and parallel for it to be a true cylinder.

Practice Quiz

1. Which of the following is the BEST real-world example of a cylinder?
   1. A cube
   2. A rectangular prism
   3. A can of soup
   4. A pyramid
2. Which formula is used to calculate the volume of a cylinder?
   1. $\pi r^3$
   2. $2\pi r h$
   3. $\pi r^2 h$
   4. $\pi d h$
3. A paper towel roll, without the paper towels, represents what geometric shape?
   1. A sphere
   2. A hollow cylinder
   3. A cone
   4. A cube
4. If a cylinder has a radius of 5 cm and a height of 10 cm, what is its approximate volume?
   1. 785 cm³
   2. 314 cm³
   3. 1570 cm³
   4. 500 cm³
5. Which of the following attributes is NOT a characteristic of a cylinder?
   1. Two parallel circular bases
   2. A curved surface connecting the bases
   3. Sharp corners
   4. Consistent radius from top to bottom
6. Which everyday object closely resembles a cylinder with one end closed?
   1. A drinking straw
   2. A shoebox
   3. A bucket
   4. A coin
7. How does increasing the radius of a cylinder affect its volume, assuming the height remains constant?
   1. It decreases the volume.
   2. It increases the volume linearly.
   3. It increases the volume exponentially.
   4. It doesn't affect the volume.