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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Volume of a hollow cylinder (external radius R, internal radius r, height h) is:

Answer: πR²h - πr²h.

  • A πR²h - πr²h
  • B π(R+r)h
  • C πh(R-r)²
  • D 2π(R+r)h

Correct answer: A. πR²h - πr²h

Explanation: Volume = πR²h - πr²h = πh(R² - r²) = πh(R+r)(R-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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