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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Curved surface area of a cone with radius r and slant height l:

Answer: πrl.

  • A πrl
  • B 2πrl
  • C πr²
  • D πr(r+l)

Correct answer: A. πrl

Explanation: CSA of cone = πrl. Total SA = πrl + πr² = πr(l+r).

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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