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JEE Main201815 Apr 2018Morning ShiftPhysicsMathematics in PhysicsActual

The relative error in the determination of the surface area of a sphere is . Then the relative error in the determination of its volume is

Options

  1. A2 3
  2. B2 3
  3. C3 2

Correct answer

C. 3 2

Step-by-step solution

Relative error in Surface area, s s =2 r r = and relative error in volume, v v =3 r r Relative error in volume w.r.t. relative error in area, v v = 3 2

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