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AP EAMCET202422 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The semi-vertical angle of a right circular cone is 45^ . If the radius of the base of the cone is measured as 14 cm with an error of ( 2 -1 11 ) cm , then the approximate error in measuring its total surface area is (in sq. cm )

Options

  1. A14
  2. B8
  3. C5
  4. D3

Correct answer

B. 8

Step-by-step solution

aligned & =45^ , r=14 ~cm , l= r 45^ =14 2 & Total surface area ( A )= r ( r +l) & A = r^2(1+ 2 ) & d ~A d r =2 r(1+ 2 ) & d A=2 r(1+ 2 ) d r & d A=2 (14)(1+ 2 ) ( 2 -1 11 )=8 aligned

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