Mensuration
ICSE · Class 10 · Mathematics
Quick revision notes for Mensuration — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Right Circular Cylinder
- A cylinder is formed when a rectangle revolves around one of its sides
- Has two circular bases connected by a curved surface
- All cross-sections parallel to the base are identical circles
Right Circular Cone
- A cone is formed when a right triangle revolves around one of its perpendicular sides
- Has one circular base and one vertex (apex)
- Slant height is the distance from apex to any point on the circumference of base
Sphere and Hemisphere
- A sphere is formed when a circle revolves around its diameter
- All points on sphere's surface are equidistant from the center
- Hemisphere is half of a sphere cut by a plane through the center
Combination of Solids
- Real-world objects often combine multiple 3D shapes
- Common combinations: cylinder + cone, cylinder + hemisphere, cone + hemisphere
- Total volume = sum of volumes of individual components
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