Mensuration
Tamil Nadu Board · Class 10 · Mathematics
Quick revision notes for Mensuration — Tamil Nadu Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
7.1 Introduction to Mensuration
- Mensuration is applied geometry dealing with measurements of areas and volumes
- 2D shapes have only area; 3D shapes have both surface area and volume
- Surface area is the total area of all exposed surfaces of a solid
7.2 Right Circular Cylinder
- A cylinder is formed by revolving a rectangle about one of its sides
- It has two circular bases and one curved surface
- Height (h) is perpendicular to the circular base; radius (r) is the distance from center to the circumference
7.3 Right Circular Cone
- A cone is formed by revolving a right-angled triangle about one of its perpendicular sides
- It has one circular base and one curved surface that tapers to a point (apex)
- Slant height (l) is the distance from apex to any point on the base circle edge
7.4 Sphere and Hemisphere
- A sphere is formed by revolving a semicircle about its diameter
- Every cross-section of a sphere is a circle
- A great circle is formed when the cross-section passes through the center; all others are small circles
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