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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Heron formula for area of triangle with sides a, b, c: A = √[s(s-a)(s-b)(s-c)] where s =

Answer: (a + b + c)/2.

  • A a + b + c
  • B (a + b + c)/2
  • C abc
  • D a + b

Correct answer: B. (a + b + c)/2

Explanation: s is the semi-perimeter = (a+b+c)/2.

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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