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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The diagonal of a square with side a is:

Answer: a√2.

  • A a
  • B 2a
  • C a√2
  • D a/√2

Correct answer: C. a√2

Explanation: Diagonal of square = a√2 (Pythagorean theorem: √(a²+a²) = a√2).

Cylinder, Cone, SphereV=πr²hCSA=2πrhV=⅓πr²hCSA=πrlV=4/3πr³SA=4πr²

Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.

Concept context

Perimeters, areas, and volumes of 2D and 3D shapes

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