CYLINDER
Definition Of Cylinder
A Cylinder is a three-dimensional geometric figure that has two congruent and parallel bases.
More About Cylinder
Right Cylinder: A right cylinder is a cylinder in which the centers of the bases are aligned directly one above the other.
Right Circular Cylinder: When the base of a right cylinder is a circle, it is called a right circular cylinder.
Oblique Cylinder: When the centers of the bases of a cylinder are not aligned directly one above the other, it is called an oblique cylinder.
Video Examples: Surface Area Of A Cylinder
Solved Example on Cylinder
Ques: Which of the following coincides with the axis of rotation of a right cylinder?
Choices:
A. its altitude
B. its base
C. its surface area
D. none of these
Correct Answer: A
Solution:
Step 1: The altitude of a right cylinder coincides with its axis of rotation.
Quick Summary
- A cylinder has two congruent and parallel bases.
- A right cylinder has bases aligned directly above each other.
- A right circular cylinder has circular bases.
- An oblique cylinder has bases not aligned directly above each other.
⚠️ Common Mistakes
- Confusing right and oblique cylinders.
- Incorrectly calculating surface area or volume due to using radius instead of diameter (or vice versa).
🌍 Real-World Uses
- Steel cans used for food storage are cylinders.
- Pipes used in plumbing to transport water are cylinders.
- Concrete pillars used to support buildings are cylinders.
📋 Standards Alignment
CCSS.MATH.CONTENT.HSG.GMD.A.1CCSS.MATH.CONTENT.HSG.GMD.A.3
🔗 Related Links
🍎 Teacher Insights
Use physical models to demonstrate right and oblique cylinders. Emphasize the importance of visualizing the 3D shape when calculating surface area and volume.🎓 Prerequisites
- Circles
- Area
- Volume
- Parallel Lines
- Congruence
Check Your Knowledge
Q1: Which of the following coincides with the axis of rotation of a right cylinder?
Frequently Asked Questions
Q: What is the difference between a right cylinder and an oblique cylinder?
A: In a right cylinder, the centers of the bases are aligned directly above each other. In an oblique cylinder, they are not.