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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Total surface area of a cylinder (radius r, height h):

Answer: 2πr(r+h).

  • A 2πrh
  • B πr²h
  • C 2πr(r+h)
  • D πr(r+h)

Correct answer: C. 2πr(r+h)

Explanation: TSA of cylinder = 2πr² (two circles) + 2πrh (curved surface) = 2πr(r+h).

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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