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Quick Revision: Surface Areas and Volumes Video Lecture | Mathematics (Maths) Class 10

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FAQs on Quick Revision: Surface Areas and Volumes Video Lecture - Mathematics (Maths) Class 10

1. What is the formula for the surface area of a cylinder?
Ans.The surface area \( A \) of a cylinder can be calculated using the formula: \( A = 2\pi r(h + r) \) where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
2. How do you find the volume of a cone?
Ans.The volume \( V \) of a cone is given by the formula: \( V = \frac{1}{3}\pi r^2 h \) where \( r \) is the radius of the base and \( h \) is the height of the cone.
3. What is the relationship between surface area and volume for spheres?
Ans.For spheres, the formulas are: Surface Area \( A = 4\pi r^2 \) Volume \( V = \frac{4}{3}\pi r^3 \) As the radius \( r \) increases, both surface area and volume increase, but volume increases at a faster rate.
4. How do you calculate the surface area of a cube?
Ans.The surface area \( A \) of a cube can be calculated using the formula: \( A = 6a^2 \) where \( a \) is the length of one edge of the cube.
5. What are the different types of solids studied in surface areas and volumes?
Ans.The different types of solids include: 1. Cube 2. Cuboid 3. Cylinder 4. Cone 5. Sphere Each solid has its own specific formulas for calculating surface area and volume.

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