NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes covers the formulas for the surface area and volume of a cuboid, cube, cylinder, cone, sphere and hemisphere.
Overview of Topics & Subtopics (Click to Jump)
1. Cuboid and Cube
Short Note:
• Cuboid (length l, breadth b, height h): Total Surface Area = 2(lb + bh + hl); Volume = l × b × h.
• Cube (edge a): Total Surface Area = 6a²; Volume = a³.
2. Cylinder and Cone
Short Note:
• Right Circular Cylinder (radius r, height h): Curved Surface Area = 2πrh; Total Surface Area = 2πr(r + h); Volume = πr²h.
• Right Circular Cone (radius r, height h, slant height l = √(r²+h²)): Curved Surface Area = πrl; Total Surface Area = πr(l + r); Volume = ⅓πr²h.
3. Sphere and Hemisphere
Short Note:
• Sphere (radius r): Surface Area = 4πr²; Volume = &frac43;πr³.
• Hemisphere (radius r): Curved Surface Area = 2πr²; Total Surface Area = 3πr²; Volume = ⅔πr³.
NCERT Textbook Exercise Questions
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