The semi-vertical angle of a right circular cone is 45^{\circ}. If the radius of the base of the cone is measured as 14 {\cm} with an error of ( {\sqrt{2}-1}/{11}) {\cm}, then the approximate error in measuring its total surface area is (in sq. {\cm} ) [AP EAPCET 22 May 2024 Shift 2]

Application of Derivatives

Section: Mathematics

Question : 32 of 64

Marks: +1, -0

The semi-vertical angle of a right circular cone is 45∘. If the radius of the base of the cone is measured as 14‌cm with an error of (‌

√2−1

)‌cm, then the approximate error in measuring its total surface area is (in sq. cm )

[AP EAPCET 22 May 2024 Shift 2]

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