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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Area between two concentric circles (radii R and r, R > r):

Answer: π(R² - r²).

  • A π(R+r)
  • B π(R² - r²)
  • C π(R-r)²
  • D 2π(R-r)

Correct answer: B. π(R² - r²)

Explanation: Area of annulus = πR² - πr² = π(R² - r²) = π(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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