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Surface Area of a Right Circular Cylinder Video Lecture - Class 9

FAQs on Surface Area of a Right Circular Cylinder Video Lecture - Class 9

1. What is the formula for finding the surface area of a right circular cylinder?
Ans. The formula for finding the surface area of a right circular cylinder is 2πrh + 2πr², where r is the radius of the base and h is the height of the cylinder.
2. How do you calculate the lateral surface area of a right circular cylinder?
Ans. The lateral surface area of a right circular cylinder can be calculated by multiplying the height of the cylinder (h) by the circumference of its base (2πr).
3. Can the surface area of a right circular cylinder be greater than its volume?
Ans. No, the surface area of a right circular cylinder can never be greater than its volume. The volume of a cylinder is given by the formula πr²h, where r is the radius and h is the height. The surface area formula includes the curved surface area and the area of the two bases. Since the volume formula only considers the curved surface area, it is not possible for the surface area to be greater than the volume.
4. If the radius of a right circular cylinder is doubled, how does it affect the surface area?
Ans. If the radius of a right circular cylinder is doubled, the surface area will increase by a factor of 4. This is because the surface area formula includes the term 2πr², where r is the radius. When the radius is doubled, the new surface area will be 2π(2r)² = 4πr², which is four times the original surface area.
5. How is the surface area of a right circular cylinder related to its volume?
Ans. The surface area of a right circular cylinder is not directly related to its volume. The surface area formula considers the curved surface area and the area of the two bases, while the volume formula only considers the curved surface area. Therefore, it is possible for two cylinders with the same surface area to have different volumes, and vice versa.
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