Class 9 Exam > Class 9 Videos > Mathematics (Maths) Class 9 > Surface Areas and Volumes
Surface Areas and Volumes Video Lecture | Mathematics (Maths) Class 9
FAQs on Surface Areas and Volumes Video Lecture - Mathematics (Maths) Class 9
| 1. What is the formula for calculating the surface area of a cylinder? |  |
Ans. The surface area of a cylinder can be calculated using the formula: Surface Area = 2πr(h + r), where r is the radius of the base, and h is the height of the cylinder. The formula consists of the area of the two circular bases (2πr²) and the lateral surface area (2πrh).
| 2. How do you find the volume of a cone? | |
Ans. The volume of a cone can be calculated using the formula: Volume = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. This formula reflects that the volume of the cone is one-third of the volume of a cylinder with the same base and height.
| 3. What is the difference between surface area and volume? | |
Ans. Surface area refers to the total area that the surface of a three-dimensional object occupies, while volume measures the amount of space enclosed within that object. Surface area is expressed in square units, while volume is expressed in cubic units. For example, surface area could be in square meters (m²), and volume in cubic meters (m³).
| 4. Can you explain the formula for the volume of a sphere? | |
Ans. The volume of a sphere is calculated using the formula: Volume = (4/3)πr³, where r is the radius of the sphere. This formula indicates that the volume is proportional to the cube of the radius, combined with the constant factor of (4/3)π.
| 5. How do you calculate the surface area of a rectangular prism? | |
Ans. The surface area of a rectangular prism can be calculated using the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height of the prism. This formula accounts for the area of all six rectangular faces of the prism.
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