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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Volume of a cylinder with radius 3 cm and height 7 cm (π = 22/7):

Answer: 198 cm³.

  • A 66 cm³
  • B 198 cm³
  • C 154 cm³
  • D 99 cm³

Correct answer: B. 198 cm³

Explanation: V = πr²h = (22/7) × 9 × 7 = 22 × 9 = 198 cm³.

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

Read the full Circles & Mensuration notes →