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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Volume of a cone with base radius r and height h:

Answer: (1/3)πr²h.

  • A πr²h
  • B (1/3)πr²h
  • C (2/3)πr²h
  • D (1/2)πr²h

Correct answer: B. (1/3)πr²h

Explanation: Volume of cone = (1/3)πr²h (one-third of cylinder volume).

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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