The vertical angle of a right circular cone is 60^{\circ}. If water is being poured into the cone at the rate of {1}/{\sqrt{3}} {\m}^3 \/ {\min}, then the rate ( {\m} \/ {\min}) at which the radius of the water level is increasing when the height of the water level is 3 m is [TG EAPCET 9 May 2024 Shift 2]

Application of Derivatives

Section: Mathematics

Question : 18 of 25

Marks: +1, -0

The vertical angle of a right circular cone is 60∘. If water is being poured into the cone at the rate of ‌

√3

m3∕min, then the rate (m∕min) at which the radius of the water level is increasing when the height of the water level is 3 m is

[TG EAPCET 9 May 2024 Shift 2]

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