JEE Main 2019 — Application Of Derivatives Question with Solution
From: JEE Main 2019 (Online) 9th April Evening Slot
Question
A water tank has the shape of an inverted right
circular cone, whose semi-vertical angle is
. Water is poured into it at a constant
rate of 5 cubic meter per minute. The the rate
(in m/min.), at which the level of water is rising
at the instant when the depth of water in the tank
is 10m; is :-
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given = 5 cm3/min
and =
tan = =
h = 2r
Volume of the cone,
v = = =
5 =
5 =
=
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